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