Solve the equation `3 tan theta + cot theta = 5 cosec theta`

Solve the equation : sin theta+sin 3 theta+ sin 5 theta =0 .

Find theta , 0 cot theta = 3.018 .

Solve the following trigonometric equation : cos 3 theta + cos theta - 2 cos2 theta=0 .

Prove the following identity : sqrt (sec^2 theta+ cosec^2 theta)= tan theta+ cot theta= sec theta cosec theta .

Solve the following trigonometric equation : tan theta + tan 2 theta + tan 3 theta =0 .

Number of solutions of the equation cot( theta ) + cot( theta +(pi)/(3))+ cos ( theta -(pi)/(3))+ cot( 3 theta ) =0 , where theta in ( 0,(pi)/(2))

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

Solve the following trigonometric equation : cos theta+ cos 3theta= cos 2 theta+ cos 4 theta .

Find the most general value of theta , which satisfies both the equations : cot theta= -1/sqrt3, cosec theta= -2/sqrt3 .

Solve tan theta + tan 2 theta + tan theta * tan 2 theta * tan 3 theta=1