Prove that : `(sin 5theta - 2 sin 3theta + sin theta)/(cos 5theta -cos theta) = tan theta`

(sin5 theta-2sin3 theta + sin theta) / (cos5 theta-cos theta) = tan theta

Prove that :(sin theta+sin3 theta+sin5 theta)/(cos theta+cos3 theta+cos5 theta)=tan3 theta

(sin theta-2sin^(3)theta)/(2cos^(3)theta-cos theta)=tan theta

Prove that (sin theta - 2 sin^(3) theta)/(2 cos^(3) theta - cos theta) = tan theta

(sin theta+sin3 theta+sin5 theta)/(cos theta+cos3 theta+cos5 theta)=tan3 theta

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

Prove that :(sin5 theta+sin3 theta)/(cos5 theta+cos3 theta)=tan4 theta

Prove that (sin theta + sin 3theta+ sin 5 theta + sin 7theta)/(cos theta + cos 3theta + cos 5 theta + cos 7theta) = (tan 3theta + tan theta)/(1 - tan 3theta tan theta) .

Prove that: (sin theta - 2 sin^(3) theta) = (2cos^(3) theta - cos theta) tan theta .

prove that (sin theta-sin5 theta+sin9 theta-sin13 theta)/(cos theta-cos5 theta-cos9 theta+cos13 theta)=cot4 theta