Simplify and Prove Identities (HSC SSCE Mathematics Advanced): Flashcards

$\cos^2\theta + \sin^2\theta = 1$

$1 + \tan^2\theta = \sec^2\theta$

$1 + \cot^2\theta = \cosec^2\theta$

$\frac{\sin \theta}{\cos \theta}$

$\frac{1}{\cos \theta}$

$\frac{\cos \theta}{\sin \theta}$

$\frac{1}{\sin \theta}$

Divide 1st identity by $\cos^2\theta$

Start with the more complex side

When $\cos \theta = 0$