`(sin 3x + sin x) sin x` + `(cos 3x-cos x) cos x` = 0

(sin3x + sin x) sin x + (cos3x-cos x) cos x = 0

(sin x + sin 3x + sin 5x)/(cos x + cos 3x + cos 5x) = tan 3x

Prove that: (sin3x+sin x)sin x+(cos3x-cos x)cos x=0

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)

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

Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x .

(sin x + sin3x + sin5x) / (cos x + cos3x + cos5x) = tan3x

2tan2x = (cos x + sin x) / (cos x-sin x) - (cos x-sin x) / (cos x + sin x)