Pls answer this expert

Dear student

We have, \sqrt{\frac{1 + sinθ}{1 - sinθ}} R a t i o n a l i s e t h e d e n o m i n a t o r = \frac{1 + sinθ}{\sqrt{1 - \sin^{2} θ}} [using (a + b) (a - b) = a^{2} - b^{2}] = \frac{1 + sinθ}{cosθ} = \frac{1}{cosθ} + \frac{sinθ}{cosθ} = secθ + tanθ hence option (a) is correct

Regards