The value of (cot x-tan x)/(cot 2 x) is

Correct answer: (B) 2. Hints: (cos^2 x-sin^2 x)/(sin x cos x) × (sin 2 x)/(cos 2 x)=(2 cos 2 x)/(sin 2 x) × (sin 2 x)/(cos 2 x)=2

Q41 / 160 · WBJEE 2010 · Mathematics

The value of $\frac{\cot x-\tan x}{\cot 2 x}$ is

Hints: $\frac{\cos ^2 x-\sin ^2 x}{\sin x \cos x} \times \frac{\sin 2 x}{\cos 2 x}=\frac{2 \cos 2 x}{\sin 2 x} \times \frac{\sin 2 x}{\cos 2 x}=2$

Hence, the correct answer is option: 'B'.