Question

Prove that :

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

Answer 1

Solving LHS,

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

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

$⟹\frac{cos\theta }{sin\theta }$

$⟹cot\theta$ = RHS

Hence proved