Prove that `sin3x+sin2x-sinx=4sinxcos(x/2)cos((3x)/2)`

Prove that: sin2x+2sin4x+sin6x=4cos^(2)x sin4x

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

Prove that: (sin5x-2sin3x+sinx)/(cos5x-cos x)=tanx

Prove the following Identities sin x +sin 2x + sin 4x +sin 5x = 4 cos(x/2).cos((3x)/2)sin3x

prove that sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

Prove that : sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

Prove that: quad sin2x+2sin4x+sin6x=4cos^(2)x sin4

Prove that: ,,(sin x-sin3x)/(sin^(2)x-cos^(2)x)=2sin x

Prove that cos8x-cos5x=-2sin((13x)/(2))sin((3x)/(2))