Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(a)[2]

Solve the equation $\tan^{-1}(5x-3)=-\frac{1}{4}\pi$ for $x$.

(b)[4]

Solve the equation $5\cos^2\theta=4\sin\theta+4$ in the range $\frac{1}{2}\pi \leq \theta \leq 2\pi$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: So $5x-3=\tan\left(-\frac{\pi}{4}\right)=-1$

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