Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

The curve is given by $y = 3\cos 2x$, and the line is given by $2y + \frac{3x}{\pi} = 5$.
(i)[3]

State the lowest and highest values of $y$ for both the curve and the line for $0 \leq x \leq 2\pi$.

(ii)[3]

Sketch the graphs of $y = 3\cos 2x$ and $2y + \frac{3x}{\pi} = 5$ on the same diagram for $0 \leq x \leq 2\pi$.

(iii)[1]

State the number of solutions of the equation $6\cos 2x = 5 - \frac{3x}{\pi}$ for $0 \leq x \leq 2\pi$.

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