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Solve the equation $\sin(\theta + 45^\circ) = 2\cos(\theta - 30^\circ)$, and give every solution within $0^\circ < \theta < 180^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Solve the equation $\sin(\theta + 45^\circ) = 2\cos(\theta - 30^\circ)$, and give every solution within $0^\circ < \theta < 180^\circ$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Try using the $\sin(A+B)$ and $\cos(A-B)$ formulae to form an equation in $\sin\theta$ and $\cos\theta$.” …