The diagram shows the graph of $y = a \cos 2x + b$ where $x$ is in radians. Write down the

Question

The diagram shows the graph of $y = a \cos 2x + b$ where $x$ is in radians. Write down the value of $a$, $b$ and $c$. Find the coordinates of the points where the curve meets the $x$-axis. Copy the diagram. By adding a suitable line to your diagram, find the number of solutions for $ 0 < x < c$, that will satisfy the equation $a \cos 2x + b - 1 = -\frac{3x}{\pi}$.

Accepted Answer

(a) $a=3$, $b=-1$, $c=\pi$ (b) $\left(0.615,0\right)$, $\left(2.53,0\right)$ (3 s.f.) (c) $2$ solutions

Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

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