Question

Is LHS=RHS?
$\sqrt{\frac{1-\cos \theta }{1+\cos \theta }}=cosec\theta -\cot \theta$

• A. Yes
• B. No
• C. Ambiguous
• D. Data Insufficient

Answer 1

The correct option is A Yes

Multiplying and dividing by $\sqrt{(1-cos\theta )}$ we get
$=\frac{1-cos\theta }{\sqrt{si{n}^2\theta }}$
$=\frac{1-cos\theta }{sin\theta }$
$=\frac{1}{sin\theta }-\frac{cos\theta }{sin\theta }$
$=cosec\theta -cot\theta$