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

The number of roots of (1-tan theta)(1+sin2 theta)=1+tan theta for theta in[0,2 pi] is 3(b)4(c)5(d) none of these

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

Prove that sin theta< theta< tan theta for theta in (0,pi/2) .

Solve tan theta tan4 theta=1 for 0

Prove that sin theta

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

If tan 2theta . Tan 3 theta =1 , then sin5theta =

Prove that (1+sin theta)/(1-sin theta)=tan^2(pi/4+theta/2)

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