(a)[2]
Solve the equation $\sin^{-1}(3x) = -\frac{1}{3}\pi$, and give the solution exactly.
(b)[4]
Solve the equation $2\cos\theta\sin\theta - 2\cos\theta - \sin\theta + 1 = 0$ by factorising it, with $0 \leq \theta \leq \pi$.
Mathematics 9709 · AS & A Level · Trigonometry
Solve the equation $\sin^{-1}(3x) = -\frac{1}{3}\pi$, and give the solution exactly.
Solve the equation $2\cos\theta\sin\theta - 2\cos\theta - \sin\theta + 1 = 0$ by factorising it, with $0 \leq \theta \leq \pi$.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Trigonometric equation correctly rearranged to $3x=-\frac{\sqrt{3}}{2}$” …