Question

√1+ cos theta /1- cos theta +√1-cos theta/1+ cos theta =2 cosec tita​

Answer 1

Answer:

Required to Prove,

$\sqrt{ \frac{1 + \cos( \alpha ) }{1 - \cos( \alpha ) } } + \sqrt{ \frac{1 - \cos( \alpha ) }{1 + \cos( \alpha ) } } = 2 \csc( \alpha )$

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After cross multiplication on LHS,

→ $\frac{(1 + \cos( \alpha )) +(1 - \cos( \alpha ) }{ \sin( \alpha ) } = \frac{2}{ \sin( \alpha ) }$

→ $\frac{2}{ \sin( \alpha ) } = \frac{2}{ \sin( \alpha ) }$

HENCE PROVED.