Math, asked by Sanvhi1, 1 year ago

plzz solve this fast

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Aiesha: under root( 1+ cos theta / 1- cos theta), rationalise it and get under root (1+ cos theta)²/sin²theta. which will be equal to 1+ cos theta /sin theta. separating the numerators you will get cosec theta +cot theta.

Aiesha: hope it helps you

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Answered by arpit281

this answer is absolutely correct

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Answered by CaptainBrainly

HEYA!!!!

Here is your answer :
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From LHS :

$\sqrt{ \frac{1 + \cos}{1 - \cos} } = - - - - - \\ \\ rationalize \: the \: denominator \\ \\ = \sqrt{ \frac{1 + cos}{1 - cos} . \frac{1 + cos}{1 - cos} } \\ \\ = \sqrt{ \frac{ {(1 + cos)}^{2} }{1 - {cos}^{2} } } \\ \\ = \sqrt{ \frac{ {(1 + cos)}^{2} }{ {sin}^{2} } } \\ \\ = \frac{1 + cos}{sin} \\ \\ = \frac{1}{sin} + \frac{cos}{sin} \\ \\ = cosec + cot \: \\ \\$

LHS = RHS

HOPE THIS HELPS U. . .

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