Question

1-sina/sina+cosa/1-sina=2seca

Answer 1

Answer:

correct qs is 1-sina/cosa+cosa/1-sina

$\frac{(1 - \sin(a))(1 - \sin(a)) + \cos(a) \cos(a) }{ \cos(a)(1 - \sin(a) ) } \\ = \frac{1 - \sin(a) - \sin(a) + { \sin }^{2}(a) + \cos(a) \cos(a) }{ \cos(a)(1 - \sin(a)) } \\ = \frac{1 - 2 \sin(a) + { \sin }^{2}(a) + {cos}^{2}(a) }{\cos(a)(1 - \sin(a))} \\ = \frac{1 - 2 \sin(a) + 1 }{\cos(a)(1 - \sin(a))} \\ = \frac{2 - 2 \sin(a) }{\cos(a)(1 - \sin(a))} \\ = \frac{2(1 - \sin(a)) }{\cos(a)(1 - \sin(a))} \\ = \frac{2}{ \cos(a) } = 2 \sec(a)$