Prove that:
`("sin"3x+"sin"x)"sin"x+(cos3x-cosx)cosx=0`

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

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

(sin 3x + 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 (sin 3x - sin x) /( cos x - cos 3x) = cot 2x

sin2x+cosx=0

Prove that: ((sin7x+sin5x)+(sin9x+sin3x))/((cos7x+cos5x)+(cos9x+cos3x))=tan6x

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