Question

root 1 - cos theta ÷ 1 + cos theta = cosec theta - cot theta ?​

Answer 1

Step-by-step explanation:

$\sqrt{ \frac{1 - cos \: \alpha }{1 + cos \alpha } } \times \sqrt{ \frac{1 - cos \: \alpha }{1 - cos \: \alpha } }$

$= \sqrt{ \frac{ {(1 - cos \: \alpha )}^{2} }{ {sin \:}^{2} \alpha } }$

$= \frac{1 - cos \: \alpha }{sin \: \alpha }$

$= cosec \: \alpha - cot \: \alpha$