Prove that `cot4x(s in5x+s in3x)=cot x(s in5x-s in3x)`

Some examples Type: 1 (1) (sin5A-sin3A)/(cos5A+cos3A)=tan A(2)(sin3x+sin x)sin x+(cos3x-cos x)cos x=0 (3) Prove that cot4x(sin5x+sin3x)=cot x(sin5x-sin3x)

Prove that cot4x(sin5x+sin3x)=cot x(sin5x-sin3x)

prove that cot4x(sin5x+sin3x)=cot x(sin5x-sin3x)

cot4x(sin5x+sin3x)= cotx(sin5x-sin3x)

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

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

Prove that: (s in5x-2s in3x+s in x)/(cos5x-cos x)=tan x

Prove that: (cos9x-cos5x)/(s in17x-s in3x)=-(s in2x)/(cos10x)

Prove that: (s in A+s in3A)/(cos A-cos3A)=cot A

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