Question

Prove the following trigonometric identities:
√1-cosA/1+cosA+√1+cosA/1-cosA=2cosecA

Answer 1

Answer:

Heyaa♡♡

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Answer 2

$\sqrt{ \frac{1 - cosA}{1 + cosA} } + \sqrt{ \frac{1 + cosA}{1 - cosA} } \\ \\ = \frac{ \sqrt{1 - cosA} }{ \sqrt{1 + cosA} } + \frac{ \sqrt{1 + cosA} }{ \sqrt{1 - cosA} } \\ \\ = \frac{1 - cosA + 1 + cosA}{ \sqrt{1 - {cos}^{2}A } } \\ \\ = \frac{2}{sinA} \\ \\ = 2cosecA$