" 10.Prove that "(cos x+sin x)/(cos x-sin x)-(cos x-sin x)/(cos x+sin x)=2tan2x

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

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

Prove that: (i) (1+"sin" 2theta-cos 2theta)/(1+"sin" 2theta+cos 2theta)="tan" theta . (ii) 2 tan 2x=(cos x+"sin" x)/(cos x-"sin" x)-(cos x-"sin" x)/(cos x+"sin" x) .

(cos 4x sin 3x -cos 2x sin x )/(sin 4x sin x+ cos 6x cos x)= tan 2x

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

Prove that: (cos9x-cos5x)/(sin17 x-sin3x)=-(sin2x)/(cos10 x)

Prove that (cos9x —cos5x)/(sin17x-sin3x)=(-sin2x)/(cos10x) .

Prove that (cos 9 x-cos 5 x)/(sin 17 x-sin 3 x)=-(sin 2 x)/(cos 10 x)

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

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