Question

Prove this,Trigonometry,Answer it Please​

Answer 1

Step-by-step explanation:

$\sqrt{ \frac{cosec - 1}{cosec + 1} } + \sqrt{ \frac{cosec + 1}{cosec - 1} } \\ here \: we \: have \: to \: rationalize \\ \\ \sqrt{ \frac{cosec - 1}{cosec + 1} \times \frac{cosec - 1}{cosec - 1} } \\ \\ \sqrt{ \frac{(cosec - 1) {}^{2} }{cosec {}^{2} - 1} } = \sqrt{ \frac{(cosec {}^{2} - 1) {}^{2} }{cot {}^{2} } } \\ \\ \frac{cosec - 1}{cot} + \sqrt{ \frac{cosec + 1}{cosec - 1} \times \frac{cosec + 1}{cosec + 1} } \\ \\ \frac{cosec - 1}{cot} + \sqrt{ \frac{(cosec + 1) {}^{2} }{cosec {}^{2} - 1 } } \\ \\ \frac{cosec - 1}{cot} + \frac{cosec + 1}{cot} \\ \\ \frac{cosec - 1 + cosec + 1}{cot} \\ \\ \frac{2cosec}{cot} = \frac{2 \frac{1}{ \sin} }{ \frac{cos}{sin} } = \frac{2}{sin} \times \frac{sin}{cos} \\ \\ \frac{2}{cos} = 2sec$

i hope it will be helpful so please mark me brainlist