Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

The curve is given by $y = 2 + 3\sin \frac{1}{2}x$ for $0 \leq x \leq 4\pi$.
(a)[2]

State the greatest and least values of $y$.

(b)[2]

Sketch the curve.

(c)[1]

State how many solutions the equation $2 + 3\sin \frac{1}{2}x = 5 - 2x$ has for $0 \leq x \leq 4\pi$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Highest value $5$

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