Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

The acute angle $x$ radians satisfies $\tan x = k$, with $k$ as a positive constant.

(i)[1]

Express $\tan(\pi - x)$ purely in terms of $k$.

(ii)[1]

Express $\tan\left(\frac{3\pi}{2} - x\right)$ in terms of $k$ only.

(iii)[2]

Express $\sin x$ in terms of $k$ only.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Hence, $\tan(\pi - x) = -k$” …