Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

If $\theta$ is an obtuse angle in radians and $\sin\theta = k$, determine, in terms of $k$, an expression for
(i)[1]

State $\cos\theta$.

(ii)[2]

State $\tan\theta$.

(iii)[1]

State $\sin(\theta + \pi)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\cos\theta=-\sqrt{1-k^2}$ for obtuse $\theta$ with $\sin\theta=k$

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