Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

It is given that $\alpha = \cos^{-1}\left(\frac{8}{17}\right)$.
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Find the exact value of $\frac{1}{\sin \alpha} + \frac{1}{\tan \alpha}$ without using the trigonometric functions on your calculator.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies identity $\sin^2\alpha+\cos^2\alpha=1$ to determine $\sin\alpha$

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