(i)[4]
Prove that $\frac{1}{\cos\theta} - \frac{\cos\theta}{1 + \sin\theta} \equiv \tan\theta$.
(ii)[3]
Solve the equation $\frac{1}{\cos\theta} - \frac{\cos\theta}{1 + \\sin\theta} + 2 = 0$ for $0^{\circ} \leq \theta \leq 360^{\circ}$.
Mathematics 9709 · AS & A Level · Trigonometry