Question

$\huge \tt \purple{ \underline{Prove}}$
$\large \sqrt{ \frac{ \text{cosec} \: x \: + \: 1}{ \text{cosec} \: x \: - \: 1} } = \frac{ \text{cos} \: x}{1 \: - \: \text{sin} \: x }$
​

Answer 1

Answer:

Formula used

• cot^2x=cosec^2x-1.
• cos^2x=1-sin^2x.
• a^2-b^2=(a-b)(a+b).