If `tan theta + cot theta` = 2 find `sin theta` ?

If theta is an acute angle and tan theta + sec theta = 1.5 , find sin theta, tan theta and sec theta .

If tantheta + cot theta = 2 , find the value of tan^2 theta + cot^2 theta

Solve tan5theta=cot2theta

The number of solution satisfying the equations tan 4theta=cot 5theta and sin 2theta=cos theta in [0,2pi] is

Prove that cos theta (tan theta +2) (2tan theta +1) = 2 sec theta + 5 sin theta

Solve tan 5 theta= cot 2 theta .

Solve 2 tan theta-cot theta=-1 .

If tan theta=-3/4 and pi/2 < theta < pi, find the values of sin theta,cos theta and cot theta .

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.

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