`(sin8thetaxxcostheta-sin6thetaxxcos3theta)/(cos2thetaxxcostheta-cos3thetaxxcos4theta)=cot5theta`

Simplify: (sin8 theta cos theta-sin6 theta cos3 theta)/(cos2 theta cos theta-sin3 theta sin4 theta)

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

For any angle theta . (sin2theta+sin4theta+sin6theta+sin8theta)/(cos2theta+cos4theta+cos6theta+cos8theta)=.... (a) tantheta (b) tan 3theta (c) tan5theta (d) none of these

(sin3 theta-sin theta)/(cos theta-cos3 theta)=cot2 theta

If theta=7.5^(@) Find the value of quad sin8 theta*cos theta-sin6 theta cos3 thetacos2 theta*cos theta-sin3 theta*sin4 theta

(b)Show that (sin theta+sin 3theta+sin 5 theta+sin 7 theta)/(cos theta+cos3theta+cos 5 theta+cos 7 theta)=tan 4 theta .

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

(sin3 theta+sin5 theta+sin7 theta+sin9 theta)/(cos3 theta+cos5 theta+cos7 theta+cos9 theta) is equal to tan3 theta(b)cot3 theta(c)tan6 theta(d)cot6 theta

cos theta-cos3 theta+cos5 theta-cos7 theta=4sin theta sin4 theta cos2 theta