Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

You are told that $\sec \theta = \sqrt{17}$ for $0 < \theta < \frac{1}{2}\pi$.
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Find the exact value for $\tan\left(\theta + \frac{1}{4}\pi\right)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the identity $\sec^2\theta=1+\tan^2\theta$ to determine the value of $\tan\theta$.

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