Question

Prove that:-
$\frac{1}{1 + \cosθ }+ \frac{1}{1 - \cosθ }= 2 \cosec ²θ$​

Answer 1

Answer:

$\frac{1}{1 + cos \: \theta} + \frac{1}{1 - cos \: \theta}$

$\frac{1 - cos \: \theta + \: 1 + cos \: \theta }{1 - cos^{2} \: \theta }$

$\frac{2}{ {sin}^{2} \theta }$

$2 \times \frac{1}{sin^{2} \theta }$

$2cosec^{2} \theta$

Hope you got your answer

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Answer 2

Please refer to the attachment.