Solve the equation `(1-tan theta) (1+ sin 2theta) = 1 + tan theta`

Solve the equation (1-tan theta)(1+sin2 theta)=1+tan theta

Solve the equation 2tan theta-cot theta+1=0

The number of roots of (1-tan theta) (1+sin 2 theta)=1+tan theta for theta in [0, 2pi] is

(iii) tan theta-sin theta=sin theta tan theta-1

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

If theta_(1) and theta_(2) are two solutions of the equation a cos2 theta+b sin2 theta=c then tan theta_(1)+tan theta_(2)

Solve that following equations: tan theta+tan2 theta+tan theta tan2 theta=1

prove that :(1-sin2 theta)/(1+sin2 theta)=((1-tan theta)/(1+tan theta))^(2)