Question

Prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x​

Answer 1

Step-by-step explanation:

(2 cos(2x)) / (cot x – tan x)

Multiply top and bottom by sin x cos x:

(2 cos(2x) sin x cos x) / (cos² x – sin² x)

Use double angle formula:

(2 cos(2x) sin x cos x) / (cos(2x))

2 sin x cos x

Use double angle formula:

sin(2x)