Question

prove that sin 2 theta/1-cos 2 theta=cot theta​

Answer 1

Step-by-step explanation:

1. sin 2 theta/1-cos 2 theta
2. 2sin theta cos theta/2 sin^2 theta
3. cos theta/sin theta
4. cot theta

(proved)

Answer 2

$= \frac{sin2θ}{1 - cos2θ} \\ = \frac{2sinθcosθ}{1 - (1 - 2sin {}^{2} θ)} \\ = \frac{2sinθcosθ}{2sin {}^{2} θ} \\ = \frac{cosθ}{sinθ} \\ = cotθ$