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

(1+tan^2theta) sin^2theta

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

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

Prove the identities : (1+tan^2 theta) (1-sin theta) (1+sin theta) =1

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

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

If the equation a cos 2 theta +b sin 2 theta = c had theta _(1), theta _(2) as its roots, prove that (i) tan theta_(1) + tan theta_(2) ""=( 2b)/(c +a) (ii) tan theta _(1) tan theta _(2) ="" ( c -a)/( c +a )

Prove: tan (45 ^(@) - theta ) =(1 - tan theta)/( 1 + tan theta)

Solve: tan4 theta = tan2theta

Solve : tan 3theta tan 2 theta = 1