Establish the identity.(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos 2 x

Question

What will be an ideal response?

Answer 1

(sin x)(tan x cos x + cot x cos x) = sin x  = sin ² x - cos ² x = sin ² x + (cos ² x - cos ² x)- cos ² x = (sin ² x + cos ² x) - cos ² x - cos ² x = 1 - 2 cos ² x.