(a)[3]
Express the equation $3 \cos \theta = 8 \tan \theta$ in quadratic form with respect to $\sin \theta$.
(b)[2]
Hence find, in degrees, the acute angle that satisfies $3 \cos \theta = 8 \tan \theta$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rearrange $3\cos\theta=8\tan\theta$ so that it becomes $3\cos^2\theta=8\sin\theta$.” …
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