Question

Square root of cosecA -1/cosecA+1

Answer 1

$\sqrt{ \frac{coseca - 1}{coseca + 1} } \\ \\ = \sqrt{ \frac{1 - sina}{1 + sina} } \\ \\ = \sqrt{ \frac{1 - sina}{1 + sina} \times \frac{1 - sina}{1 - sina} } \\ \\ = \sqrt{ \frac{( {1 - sina})^{2} }{ {cos}^{2}a } } \\ \\ = \frac{1 - sina}{cosa} \\ \\ = seca - tana$