Prove that: `sin" "3x" "+" "sin" "2x" "+" "sin" "x" "=" "` `4" "sin" "x" "cos` `x/2` `cos` `(3x)/2`

Prove that sin x + sin 2x + sin 3x = sin 2x (1 + 2 cos x )

Prove that (sin 4x + sin 2x)/(cos 4x + cos 2x) = tan 3x .

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

Prove that : (sin x + sin 3x)/(cos x + cos 3x) = tan 2x

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

Prove that: sin x + sin 3x + sin 5x + sin 7x= 4 cos x cos 2x sin 4x

Prove that sin 5 x cos 2x + cos 6 x sin 3 x = sin 8x cos x

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) 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