(sin3A+sin A)sin A+(cos3A-cos A)cos A=......

( sin 3A + sin A) sin A + ( cos 3A- cos A ) cos A =

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

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

Prove that: (sin 3x + sin x) sin x + (cos 3x -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 3x + sin x) sin x + (cos 3x - cos x) cos x =0

Prove that: (sin 3 x +sin x) sin x + (cos 3x - cos x) cos x = 0

Prove that: (i) sin 3x+"sin" 2x-"sin" x = 4 sin x cos((x)/(2))cos((3x)/(2)) (ii) ("sin" 3x+"sin" x)"sin" x+(cos 3x-cos x)cos x=0.

Prove that: (sin2A sin3A-sin4A sin5A+sin3A sin6A)/(cos2A cos3A-cos4A cos5A+cos3A cos6A)=tan A tan4A

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