(a)[3]
Express the equation $7\tan \theta + 4\cot \theta - 13\sec \theta = 0$ using $\sin \theta$ only.
(b)[3]
Hence solve the equation $7\tan \theta + 4\cot \theta - 13\sec \theta = 0$ for $0^\circ < \theta < 360^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Express the equation $7\tan \theta + 4\cot \theta - 13\sec \theta = 0$ using $\sin \theta$ only.
Hence solve the equation $7\tan \theta + 4\cot \theta - 13\sec \theta = 0$ for $0^\circ < \theta < 360^\circ$.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Recast the left-hand side of the equation in terms of $\sin\theta$ and $\cos\theta$.” …