Prove that : `(cos 9x - cos 5x)/(sin 17x - sin 3x) = (-sin 2x)/(cos 10x)`

(cos9x-cos5x)/(sin17x-sin3x)=-(sin2x)/(cos10x)

Prove that: ,(cos9x-cos5x)/(sin17x-sin3x)=-(sin2x)/(cos10x)

Prove that (cos x + sin x)/(cos x - sin x) - (cos x - sin x)/(cos x + sin x) = 2 tan x

Prove that :(cos7x+cos5x)/(sin7x-sin5x)=cot x

Prove that (cos7x+cos5x)/(sin7x-sin5x)=cot x

Prove that (sin 3x - sin x) /( cos x - cos 3x) = cot 2x

(sin x + sin 3x)/(cos x - cos 3x) = ?

Prove that (1 + sin x-cos x) / (1 + sin x + cos x) + (1 + sin x + cos x) / (1 + sin x-cos x) = 2cos ecx

Prove that (cos 3 x)/(sin 2 xsin 4x)+(cos 5x)/(sin 4xsin 6x)+(cos 7x)/(sin 6xsin 8x)+(cos 9x)/(sin 8x sin 10x) =(1)/(2) (co sec x)[co sec2x-co sec 10x]

prove that cos x cos2x cos4x cos8x=(sin16x)/(16sin x)