Additional Mathematics 0606: TRIGONOMETRY Topical Past Paper Questions

Solve the equation $ \csc e^2 2x + \frac{2}{\tan 2x} = 1 $ for $ -\frac{\pi}{2} \leq x \leq \frac{\pi}{2} $. $$ \left\| \mathbf{7} \right\| $$

Solve the equation $ \sec^{2}3x + \tan 3x - 3 = 0 $ for $ 0^{\circ} \leq x \leq 120^{\circ} $.

(a) (i) Given that $ y = 3\sin^{2}x + \cos x $, show that $ y + \cot x\frac{dy}{dx} = k(1 + \cos^{2}x) $, where k is an integer. [4] (ii) Using your value of k, solve the equation $ k(1 + \cos^{2}x) = 4 $ for $ -\pi \leq x \leq \pi $. [4] (b) (i) Differentiate $ y = \tan(x - \sqr…