Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

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

State the maximum and minimum possible values of $y$.

(b)[2]

Sketch the graph.

(c)[1]

Hence find the number of solutions of the equation $4\cos 2x + 3 = 2x - 1$ for $0 \leq x \leq 2\pi$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Shows greatest value $7$

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