Question

√{(1- cos theta)÷(1+cos theta)}​

Answer 1

Answer:

$→\sqrt{ \frac{1 - \cos( \theta) }{1 + \cos( \theta) } } \\ = \sqrt{ \frac{2 \sin {}^{2} ( \frac{ \theta}{2} ) }{2 \cos {}^{2} ( \frac{ \theta}{2} ) } } \\ = \sqrt{ \tan {}^{2} ( \frac{ \theta}{2} ) } \\ = \boxed{\tan( \frac{ \theta}{2} ) }$

• tan(∅/2) is the right answer.