Differentiating Reciprocal and Inverse Trig Functions (AQA A-Level Mathematics): Flashcards

$\csc(x), \sec(x), \cot(x)$ are reciprocals of $\sin(x), \cos(x), \tan(x)$

$-\csc(x)\cot(x)$

$\sec(x)\tan(x)$

$-\csc^2(x)$

$\frac{1}{\sqrt{1-x^2}}$

$-\frac{1}{\sqrt{1-x^2}}$

$\frac{1}{1+x^2}$

$-\frac{1}{1+x^2}$

$\frac{1}{|x|\sqrt{x^2-1}}$

$-\frac{1}{|x|\sqrt{x^2-1}}$