If `costheta_1 =2costheta_2,` then `tan((theta_1-theta_2)/2)tan((theta_1+theta_2)/2)` is equal to (a)`1/3` (b) `-1/3` (c)`1` (d) `-1`

If sintheta=costheta then 2tan^(2)theta+sin^(2)theta-1=___ .

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to (a) -1 (b) 1 (c) 2 (d) -2

If tanbeta = costheta*tanalpha , then tan^2(theta/2) is equal to

If theta_1 and theta_2 are two values lying in [0,2pi] for which t a ntheta=lambda, then tan((theta_1)/2)tan((theta_2)/2) is equal to (a)0 (b) -1 (c) 2 (d) 1

(sintheta+sin2theta)/(1+costheta+cos2theta)

If tan 3 theta + tan theta =2 tan 2 theta , then theta is equal to (n in Z)

Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

Prove that (sintheta +sin2theta)/(1+costheta +cos2theta)=tantheta

If tantheta+(1)/(tantheta)=2, then show that tan^(2)theta+(1)/(tan^(2)theta) =2.

Prove that (sin theta+sin 2theta)/(1+cos theta+cos 2 theta)=tan theta