Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(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 $0^\circ < \theta < 360^\circ$.

Worked solution & mark scheme

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 $\cos\theta$.

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