三角函数基本公式
2018-09-06 22:39:52 2 举报AI智能生成
初等函数中的三角函数，应用广泛； 搜集整理以方便记忆； 若有兴趣可以接续更新（例如泰勒级数、傅里叶级数）
作者其他创作
大纲/内容
定义式
正弦（sin）：<img width="64" height="33" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/-vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D64/sign=c535097d8518367aa9897cd92f73bdf8/b17eca8065380cd7e44766b9a244ad345982810d.jpg"> 余弦（cos）：<img width="65" height="32" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/-vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D65/sign=400d237f0df41bd5de53ebf151da7529/908fa0ec08fa513d1b84a88a3e6d55fbb2fbd9bc.jpg"><br>正切（tan或tg）：<img width="66" height="32" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/7Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D66/sign=582f966dca3d70cf48faa90bf8dc6b2a/060828381f30e9249f8858654f086e061d95f7b2.jpg"> 余切（cot或ctg）：<img width="65" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/-4o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D65/sign=6d48a340bd0e7bec27da00e42e2e2bf8/50da81cb39dbb6fd062f52690c24ab18972b370c.jpg"><br>正割（sec）：<img width="65" height="31" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/7Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D65/sign=a21aa49fb1fb43161e1f797f21a4938c/ae51f3deb48f8c540b99017b39292df5e0fe7f18.jpg"> 余割（csc）：<img width="65" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D65/sign=b641fdb3922397ddd2799b015882df92/bba1cd11728b47106a6b3998c0cec3fdfc03231a.jpg"><br>
函数关系
倒数关系：①<img width="99" height="12" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D99/sign=a2f1d24f2d2eb938e86d76fbd46227ef/80cb39dbb6fd52662600edbaa918972bd4073671.jpg">；②<img width="97" height="12" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/9vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D97/sign=8b9f8b760fd162d981ee6e1b10df854c/00e93901213fb80ef27ba46533d12f2eb83894de.jpg">；③<img width="99" height="12" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D99/sign=044195ba09d79123e4e0987dac34c078/3ac79f3df8dcd10074603d93778b4710b8122f80.jpg"> .<br>商数关系：①<img width="94" height="34" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D94/sign=8dc59713ab773912c0268965f919a214/e850352ac65c103828851f6cb0119313b17e89a1.jpg">；②<img width="92" height="31" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D92/sign=d0163316d63f8794d7ff442cd31b7aa2/f3d3572c11dfa9ecc84086b960d0f703918fc136.jpg">．<br>平方关系：①<img width="127" height="16" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D127/sign=78d53597b1de9c82a265fd8d5b8080d2/9345d688d43f87944e4f9980d01b0ef41ad53ae8.jpg">；②<img width="129" height="16" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/7Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D129/sign=8246348d71f082022992953d72fafb8a/8601a18b87d6277fb122e2962a381f30e924fc68.jpg">；③ <img width="127" height="16" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D127/sign=59cbcca61d30e924cba498337b096e66/d6ca7bcb0a46f21fe0ca8ffdf4246b600d33aea6.jpg"> ．
诱导公式
公式一：设<img width="10" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D10/sign=c18078950c24ab18e416e53734fa4b14/91529822720e0cf3442cd3480f46f21fbf09aaae.jpg">为任意角，终边相同的角的同一三角函数的值相等：<br>
<img width="190" height="93" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/9vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D190/sign=88f2285bc611728b342d882bf8fec3b3/faedab64034f78f0aec43d3972310a55b2191c28.jpg">
公式二：设<img width="10" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D10/sign=c18078950c24ab18e416e53734fa4b14/91529822720e0cf3442cd3480f46f21fbf09aaae.jpg">为任意角，<img width="37" height="11" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D37/sign=ef462cb6e0dde711e3d245f1a6ef21df/9f510fb30f2442a7e3176116d443ad4bd1130263.jpg">与<img width="10" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D10/sign=c18078950c24ab18e416e53734fa4b14/91529822720e0cf3442cd3480f46f21fbf09aaae.jpg">的三角函数值之间的关系：
<img width="138" height="78" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D138/sign=99e9d8a3fadcd100c99cfc224a8a47be/43a7d933c895d1430f65968d71f082025aaf0708.jpg">
公式三：任意角<img width="20" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/94o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D20/sign=4f44080882d6277fed1235382938b4f4/caef76094b36acafe6980a4f79d98d1001e99c0d.jpg">与<img width="10" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D10/sign=c18078950c24ab18e416e53734fa4b14/91529822720e0cf3442cd3480f46f21fbf09aaae.jpg">的三角函数值之间的关系：
<img width="122" height="78" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/-vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D122/sign=535e482d0d2442a7aa0ef9a7e342ad95/8601a18b87d6277f532040962a381f30e924fc6a.jpg">
公式四：<img width="37" height="10" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/7Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D37/sign=cb193d6df51f3a295ec8d3c998253486/4afbfbedab64034f3fbd5eb5aac379310a551d14.jpg">与<img width="10" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D10/sign=c18078950c24ab18e416e53734fa4b14/91529822720e0cf3442cd3480f46f21fbf09aaae.jpg">的三角函数值之间的关系：
<img width="139" height="78" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/94o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D139/sign=52b34b6dd5ca7bcb797bc32c87086b3f/b17eca8065380cd7b19ed043a344ad345882819f.jpg">
公式五：<img width="45" height="13" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/94o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D45/sign=17c160be75cf3bc7ec00cce9d0006a7d/e824b899a9014c081eceb4160f7b02087af4f488.jpg">与<img width="10" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D10/sign=c18078950c24ab18e416e53734fa4b14/91529822720e0cf3442cd3480f46f21fbf09aaae.jpg">的三角函数值之间的关系：
<img width="148" height="93" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D148/sign=b95950304d36acaf5de092f844d88d03/5d6034a85edf8db1b9a56f6d0f23dd54564e742b.jpg">
公式六：<img width="39" height="32" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D39/sign=a818a3749552982201333fcad6caecf5/bd315c6034a85edf638a61904c540923dd54757b.jpg">及<img width="48" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/-4o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D48/sign=5ff600e7064f78f0840b9bfb783154d7/242dd42a2834349ba720f036ccea15ce36d3be5b.jpg">与<img width="10" height="8" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D10/sign=c18078950c24ab18e416e53734fa4b14/91529822720e0cf3442cd3480f46f21fbf09aaae.jpg">的三角函数值之间的关系：<br><br>口诀“奇变偶不变，符号看象限”意义：
<br>k×π/2±a(k∈z)的三角函数值．
<br>(1)当k为偶数时，等于α的同名三角函数值，前面加上一个把α看作锐角时原三角函数值的符号；
<br>(2)当k为奇数时，等于α的异名三角函数值，前面加上一个把α看作锐角时原三角函数值的符号。<br>
<img width="151" height="617" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D617/sign=8dc3401cbe99a9013f3558372a940a58/9922720e0cf3d7cae938a37ef41fbe096a63a9e8.jpg">
基本公式
和差角公式
二角和差公式
<img width="247" height="93" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/9vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D247/sign=3c6147b39325bc312f5d069c69de8de7/71cf3bc79f3df8dcc0941decc711728b47102825.jpg"><br>
<a class="image-link" style="background-color: transparent; color: rgb(19, 110, 194); display: block; font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; height: 220px; letter-spacing: normal; opacity: 0.9; orphans: 2; outline-color: invert; outline-style: none; outline-width: 0px; text-align: left; text-decoration: underline; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; width: 182px; word-spacing: 0px;" href="https://baike.baidu.com/pic/%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E5%85%AC%E5%BC%8F/4374733/0/7acb0a46f21fbe09ded77b0b68600c338744ad20?fr=lemma&ct=single" target="_blank" original-title="证明正弦、余弦的和差角公式" nslog-type="9317"><img style="border-bottom-color: rgb(19, 110, 194); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(19, 110, 194); border-left-style: none; border-left-width: 0px; border-right-color: rgb(19, 110, 194); border-right-style: none; border-right-width: 0px; border-top-color: rgb(19, 110, 194); border-top-style: none; border-top-width: 0px; display: block; height: 220px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; width: 182px;" alt="证明正弦、余弦的和差角公式" src="https://gss1.bdstatic.com/-vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D220/sign=32b52ca484d6277fed12353a18391f63/7acb0a46f21fbe09ded77b0b68600c338744ad20.jpg"><br></a>
<img width="192" height="176" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/-vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D192/sign=e05915b649166d223c77119d74220945/faf2b2119313b07e7f22c27506d7912397dd8c34.jpg">
<br><a title="证明正切的和差角公式" class="image-link" style="background-color: transparent; color: rgb(19, 110, 194); display: block; font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; height: 220px; letter-spacing: normal; opacity: 0.9; orphans: 2; outline-color: invert; outline-style: none; outline-width: 0px; text-align: left; text-decoration: underline; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; width: 182px; word-spacing: 0px;" href="https://baike.baidu.com/pic/%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E5%85%AC%E5%BC%8F/4374733/0/55e736d12f2eb93868d5c2edd6628535e5dd6f71?fr=lemma&ct=single" target="_blank" nslog-type="9317"><img style="border-bottom-color: rgb(19, 110, 194); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(19, 110, 194); border-left-style: none; border-left-width: 0px; border-right-color: rgb(19, 110, 194); border-right-style: none; border-right-width: 0px; border-top-color: rgb(19, 110, 194); border-top-style: none; border-top-width: 0px; display: block; height: 220px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; width: 182px;" alt="证明正切的和差角公式" src="https://gss3.bdstatic.com/-Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D220/sign=d6a859052b34349b70066987f9eb1521/55e736d12f2eb93868d5c2edd6628535e5dd6f71.jpg"></a><br>
三角和差公式
<img width="597" height="43" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/94o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D597/sign=8edbf1a3376d55fbc1c6762f5a234f40/c8ea15ce36d3d5391e4c92be3087e950352ab05e.jpg"><br>
和差化积公式<br>口诀：正加正，正在前，余加余，余并肩，正减正，余在前，余减余，负正弦．<br>
<img width="259" height="205" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/-4o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D259/sign=9c500c5f58e736d15c138b0da2514ffc/9358d109b3de9c82f506bb0c6081800a18d843d5.jpg">
积化和差公式
<img width="273" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D273/sign=39774d12dfc451daf2f60bec85fc52a5/1f178a82b9014a90d4a193f1ab773912b21beedb.jpg"><br><br><img width="273" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/9vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D273/sign=e7957f327dd98d1072d40b36123eb807/574e9258d109b3de55ca0da6cdbf6c81810a4c83.jpg"><br><br><img width="277" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D277/sign=fd709e578326cffc6d2ab8b58e004a7d/63d9f2d3572c11dfe3d957ed622762d0f603c2f0.jpg"><br><br><img width="274" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D274/sign=5f6e77bebc51f819f525044deeb54a76/58ee3d6d55fbb2fb256aa987434a20a44723dce6.jpg"><br>
倍角公式
二倍角公式
<img width="449" height="121" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: center; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D449/sign=95546a1319ce36d3a604823403f13a24/8c1001e93901213f76efd81558e736d12e2e951f.jpg">
降幂公式
直接运用二倍角公式升幂，将该公式变形后可得到降幂公式：<br><img width="348" height="16" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D348/sign=4a7e925256df8db1b82e7a603122dddb/9e3df8dcd100baa1db0fd4714f10b912c9fc2edc.jpg"><br><br><img width="293" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/-4o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D293/sign=bda10bb1d91373f0f13f6896970d4b8b/9f2f070828381f3085c61e63a1014c086f06f019.jpg"><br>相除得到：<br><img width="135" height="35" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/7Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D135/sign=15a863f543fbfbedd859327c4df1f78e/e824b899a9014c082101da6f027b02087af4f4c6.jpg"><br>
半角公式<br>（正负由<img width="12" height="31" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: 微软雅黑; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D31/sign=11184a251d30e924cba49a304c088f5f/2fdda3cc7cd98d1017f95b1c233fb80e7bec90e9.jpg">所在的象限决定）<br>
<img width="318" height="192" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/94o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D318/sign=7e5d8c7a3c87e9504617f56d2839531b/37d12f2eb9389b50879f63eb8335e5dde7116e23.jpg"><br>
三倍角公式
<img width="176" height="16" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss0.bdstatic.com/94o3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D176/sign=8e5dd9b198510fb37c197390ef32c893/377adab44aed2e73e34411248101a18b87d6fa0d.jpg"><br><br><img width="180" height="16" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/7Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D180/sign=daad732b75f08202299295377bfafb8a/b999a9014c086e066a73a84304087bf40bd1cbdb.jpg"><br><br><img width="282" height="18" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D282/sign=ca2973f27dcb0a4681228c315962f63e/ac345982b2b7d0a2ca2e9595cdef76094a369ad7.jpg"><br><br><img width="287" height="18" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/9fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D287/sign=b34b1023b651f819f5250442edb54a76/09fa513d269759eeb734f6c3b4fb43166d22df56.jpg"><br><br><img width="279" height="18" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss1.bdstatic.com/-vo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D279/sign=bbc8798c4ced2e73f8e9812bbe00a16d/58ee3d6d55fbb2fbcea4ce1a494a20a44623dc2f.jpg"><br>
n倍角公式的推导，应用到欧拉公式：<br><img width="132" height="16" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss3.bdstatic.com/7Po3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D132/sign=7fcb2990307adab439d01f40b9d5b36b/4e4a20a4462309f7178037aa740e0cf3d6cad69f.jpg"><br>
万能公式
<img width="128" height="145" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D145/sign=493c7eb476cf3bc7ec00c9e8e401babd/43a7d933c895d143837e669a75f082025aaf077a.jpg">
辅助角公式
<img width="339" height="36" title="" align="absmiddle" style="background-color: transparent; border-bottom-color: rgb(51, 51, 51); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(51, 51, 51); border-left-style: none; border-left-width: 0px; border-right-color: rgb(51, 51, 51); border-right-style: none; border-right-width: 0px; border-top-color: rgb(51, 51, 51); border-top-style: none; border-top-width: 0px; color: rgb(51, 51, 51); font-family: arial,&quot;宋体&quot;,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 28px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" alt="" src="https://gss2.bdstatic.com/-fo3dSag_xI4khGkpoWK1HF6hhy/baike/s%3D339/sign=50c83f21ce1349547a1eee676f4f92dd/f9dcd100baa1cd117c9cf580bc12c8fcc3ce2d63.jpg">
0 条评论
下一页
