Question

Is LHS=RHS?
$\frac{\cos \theta }{1+\sin \theta }+\frac{\cos \theta }{1-\sin \theta }=2cosec\theta$

Say true or false.

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

Answer 1

The correct option is B No

$\frac{cos\left(\theta \right)(1-sin\theta +1+sin\theta )}{1-si{n}^2\theta }$
$=\frac{cos\left(\theta \right)\left(2\right)}{co{s}^2\theta }$
$=\frac{2}{cos\theta }$
$=2sec\theta$