Question

Prove the following$\frac{\sin 2\theta }{1-\cos 2\theta }=\cot \theta$

Answer 1

Solving LHS,

$\Rightarrow$ $\frac{sin2\theta }{1-cos2\theta }$

$\Rightarrow$ $\frac{2sin\theta .cos\theta }{2si{n}^2\theta }$

$\Rightarrow$ $\frac{cos\theta }{sin\theta }$

$\Rightarrow$ $cot\theta$ = RHS

Hence Proved.