(a)[3]
Prove that $\displaystyle \frac{1 + \sin\theta}{\cos\theta} + \frac{\cos\theta}{1 + \sin\theta} = \frac{2}{\cos\theta}$.
(b)[3]
Hence solve the equation $\displaystyle \frac{1 + \sin\theta}{\cos\theta} + \frac{\cos\theta}{1 + \sin\theta} = \frac{3}{\sin\theta}$, for $0 \leq \theta \leq 2\pi$.