Question

State true or false.

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

• A. True
• B. False

Answer 1

The correct option is B False

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

$=\frac{2\sin \theta \cos \theta }{2{\sin }^2\theta }$

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

$=\cot \theta$

Hence the given statement is false.