`(sin (theta+phi) -2 sintheta+ sin (theta-phi))/( cos(theta+phi) -2 costheta+ cos (theta-phi))= tan theta`

Prove that: (sin(theta+varphi)-2sintheta+"sin"(theta-varphi))/(cos(theta+varphi)-2costheta+"cos"(theta-varphi))=t a ntheta

(sin ( theta -phi))/(sin theta sin phi) = cot phi - cot theta.

Prove that : (sin theta + sin 3theta + sin 5theta)/(cos theta + cos 3theta + cos 5theta) = tan 3theta

(sin (theta + phi))/( sin theta cos phi) = cot theta tan phi +1.

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

Prove that : (sin 5theta - 2 sin 3theta + sin theta)/(cos 5theta -cos theta) = tan theta

If sintheta=5sin(theta+phi) then tan(theta+phi)=

If 3 tan theta tan phi=1, then (cos (theta-phi))/(cos (theta+phi)) is

If 3 tan theta tan phi=1, then (cos (theta-phi))/(cos (theta+phi)) is

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