Question

Simplify $\frac{sin 2\theta}{1 + cos 2\theta}$

Answer 1

HELLO DEAR,



GIVEN:- $\frac{sin 2\theta}{1 + cos 2\theta}$

we know:- sin2θ = 2sinθcos
cos2θ = 2cos²θ - 1

now,


sin2θ/(1 + cos2θ)

=> 2sinθcosθ/{1 + 2cos²θ - 1}

=> 2sinθcosθ/2cos²θ

=> sinθ/cosθ

=> tanθ


I HOPE IT'S HELP YOU DEAR,
THANKS