Question

prove :
$\sqrt{ \frac{1 - \cos(a) }{1 + \cos(a ) } } = cosec \: a - \cot \: a$

THE FIRST ONE TO ANSWER WILL BE MARKED AS BRIANLIEST

PLZZ HELP

Answer 1

Hello friend!

here is your Answer
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Take LHS
$\sqrt{ { \frac{1 - cos \: a }{1 + cos \: a} }^{} } = > \\ \: multiply \: both \: upper \: and \\ bottom \: side \: by \: (1 - cos \: a) \\ \\ = \sqrt{ \frac{1 - cos \: a } {1 + cos \: a} \times \frac{1 - cos \: a}{1 - cos \: a} } \\ \\ = \sqrt{ \frac{(1 - cos \: a) {}^{2} }{1 - cos {}^{2} a} } \\ \\ = \sqrt{ \frac{(1 - cos \: a {)}^{2} }{sin {}^{2} a} } \\ \\ = \frac{1 - cos \: a}{sin \: a} \\ \\ = cosec \: a - \: cot \: a \: \\ proved \\ \\ hope \: its \: helpful$