Question

cos theta /1- sin theta = 1+ sin theta / cos theta​

Answer 1

$\frac{cos \theta}{1 - sin \theta} \\ = \frac{cos \theta}{1 - sin \theta} \times \frac{1 + sin \theta}{1 + sin \theta} \\ = \frac{cos \theta(1 + sin \theta)}{1 - {sin}^{2} \theta} \\ = \frac{cos \theta(1 + sin \theta)}{ {cos}^{2} \theta} \\ = \frac{1 + sin \theta}{cos \theta}$