`sin theta+ sin 3 theta + sin 5 theta =0`

Solve the equations: sin theta + sin 3theta +sin 5 theta = 0

Solve the following: sin theta + sin 2 theta + sin 3 theta + sin 4 theta=0

Solve sin theta + sin 5 theta = sin 3 theta , 0 lt theta lt pi .

Prove the following identities : (sin theta +sin 3 theta + sin 5 theta + sin 7theta)/(cos theta + cos 3 theta + cos 5 theta + cos 7 theta)=tan 4 theta

sin theta + sin 5 theta = sin 3theta (0 le theta le 2pi)

(sin 3 theta + sin 5 theta + sin 7 theta + sin 9theta)/(cos 3 theta + cos 5 theta + cos 7 theta + cos 9 theta )=

( sin 3 theta + sin 5 theta + sin 7 theta + sin 9 theta)/( cos 3 theta + cos 5 theta + cos 7 theta + cos 9 theta) is equal to

(sin 3 theta + sin 5 theta + sin 7 theta + sin 9theta)/(cos 3 theta + cos 5 theta + cos 7 theta + cos 9 theta )=

If sin theta + sin 5 theta = sin 3 theta and 0 lt theta lt ((pi)/(2)), what is the value of theta ( in degrees) ?