Question

√1+√cosx/√1-√cosx =cosecX + cot X

Answer 1

$\sqrt{1 + \ \cos(x)} \div \sqrt{1 - cosx} \\( \sqrt{1 + cosx} )( \sqrt{1 + \cos(x) } ) \div (\sqrt{1 - \cos(x) } )( \sqrt{1 + \cos(x) } ) \\ (1 + \cos(x) ) \div ( \ \sqrt{1 - {cos}^{2}x } \\ 1 + \cos(x) \div \sin(x) \\ 1 \div \sin(x) + \cos(x) \div sin(x) \\ \csc(x) + \cot(x)$

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