First slide

Trigonometric Identities

Question

$\cos^{4} α - \sin^{4} α = a$ then $\frac{1 - a}{1 + a} =$

Moderate

A

$\tan^{2} α$
B

$\cot^{2} α$
C

$- \tan^{2} α$
D

$- \cot^{2} α$

Solution

$a = \cos^{2} α - \sin^{2} α \Rightarrow 1 - a = 2 \sin^{2} α$ and $1 + a = 2 \cos^{2} α$

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