PART 6:三角函數的恆等式(03:43)

三角函數之間的關係可以透過六角形記憶

圖8. 三角函數的恆等式記憶法

平方和關係
\({\sin ^2}\theta  + {\cos ^2}\theta  = {1^2}\) , \({\tan ^2}\theta  + {1^2} = {\sec ^2}\theta \) , \({1^2} + {\cot ^2}\theta  = {\csc ^2}\theta \)
商數關係
\(\tan \theta  = \frac{{\sin \theta }}{{\cos \theta }}\) , \(\cot \theta  = \frac{{\cos \theta }}{{\sin \theta }}\)
倒數關係
\(\left( {\sin \theta } \right)\left( {\csc \theta } \right) = 1\) ,  \(\left( {\cos \theta } \right)\left( {\sec \theta } \right) = 1\) , \(\left( {\tan \theta } \right)\left( {\cot \theta } \right) = 1\)