Find the sum to n terms of the series `cottheta.cot 2theta+cot2theta.cot3theta+…`

Solve: cot5theta=cot2theta

Solve 4cot2theta=cot^2theta-tan^2theta

Solve tan5theta=cot2theta

Solve: cot2theta=tantheta

Prove that sin(2theta)/(1-cos2theta)=cot theta

Prove that cot theta-tan theta=2cot 2 theta .

Solve cosec^(2)theta-cot^(2) theta=cos theta .

Solve cot theta + tan theta=2 cosec theta .

If a tower subtends angles theta, 2 theta and 3 theta at three points A,B,and C respectively, lying on the same side of a horizontal line through the foot of the tower, show that (AB)/(BC) (cot theta- cot 2 theta)/(cot 2 theta - cot 3 theta).

Prove: cos e c^6theta=cot^6theta+3cot^2thetacos e c^2theta+1