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

User NickNo
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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

User Shouqun
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