`(sin 3theta + sin 5theta+ sin 7theta + sin 9theta) / (cos 3theta + cos 5theta + cos 7theta + cos 9theta)`

(sin 3 theta + sin 5 theta + sin 7 theta + sin 9theta)/(cos 3 theta + cos 5 theta + cos 7 theta + cos 9 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) .

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

(sin 3theta+sin5theta+sin7theta+sin9theta)/(cos 3theta+cos 5theta+cos 7theta+cos9theta) is equal to

What is the value of [(cos 3 theta + 2cos 5 theta+ cos 7 theta)/(cos theta + 2cos 3 theta + cos 5 theta)] + sin 2 theta tan 3 theta ? [(cos 3 theta + 2cos 5 theta+ cos 7 theta)/(cos theta + 2cos 3 theta + cos 5 theta)] + sin 2 theta tan 3 theta का मान क्या है?

(sin3 theta+sin5 theta+sin7 theta+sin9 theta)/(cos3 theta+cos5 theta+cos7 theta+cos9 theta)

The number of values of theta in (0, pi] , such that (cos theta + i sin theta) (cos 3 theta + i sin 3 theta) (cos 5 theta + i sin 5 theta) (cos 7 theta + i sin 7 theta) (cos 9 theta + i sin 9 theta) = -1 is

(sin ^ (3) theta + sin3 theta) / (sin theta) + (cos ^ (3) theta-cos3 theta) / (cos theta) =

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

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