Question

Prove that 1/1+sinA -1/1+sinA =2tanAsinA​

Answer 1

Explanation:

`(1)/(1 + \sin( \alpha ) ) (1)/(1 - \sin( \alpha ) ) \\ (1 - \sin( \alpha ) + 1 + \sin( \alpha ) )/((1 + \sin( \alpha ))(1 - \sin( \alpha )) ) \\ = \frac{2}{1 - {sin}^(2) \alpha } \\ \frac{2}{ {cos}^(2) \alpha } = 2 \: {sec}^(2) \alpha`