Derivative of Trigonometric Functions
\frac{d}{dx}(\sin(x)) = \cos(x) \ \frac{d}{dx}(\cos(x)) = -\sin(x) \ \frac{d}{dx}(\tan(x)) = \sec^2(x) \ \frac{d}{dx}(\cosec(x)) = -\cosec(x) \cot(x) \ \frac{d}{dx}(\sec(x)) = \sec(x) \tan(x) \ \frac{d}{dx}(\cot(x)) = -\csc^2(x) \Derivative of Inverse Trigonometric Functions
\frac{d}{dx}(\sin^{-1}(x)) = \frac{1}{\sqrt{1-x^2}} \ \frac{d}{dx}(\cos^{-1}(x)) = -\frac{1}{\sqrt{1-x^2}} \ \frac{d}{dx}(\tan^{-1}(x)) = \frac{1}{1+x^2} \