Question

1/(1 + sinO) + 1/(1-sinO) =2secO​

Answer 1

Answer:

$\frac{1}{1 + \sin( \alpha ) } + \frac{1}{1 - \sin( \alpha ) } \\ \frac{(1 - \sin( \alpha )) + (1 + \sin( \alpha )) }{(1 - \sin( \alpha ))(1 + \sin( \alpha ) ) } \\ \frac{2}{ {1}^{2} - { \sin( \alpha ) }^{2} } \\ \frac{2}{ { \cos( \alpha ) }^{2} } \\ 2. { \sec( \alpha ) }^{2}$

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