The sketch below shows part of the graph of $y = a \sin (bx) + c$, where $x$ is in degrees.

Question

The sketch below shows part of the graph of $y = a \sin (bx) + c$, where $x$ is in degrees. Write down the values of the $a$, $b$ and $c$. When $x = 13 {\dfrac{1}{3}}^\circ$, $y = -\frac{1}{2}$. Use the sketch to write down three further values of $x$ between $0$ and $280$ for which $y = -\frac{1}{2}$.

Accepted Answer

(i) $a=3$, $b=\frac{9}{4}$, $c=-2$ (ii) $x=66\frac{2}{3}^\circ,\ 173\frac{1}{3}^\circ,\ 226\frac{2}{3}^\circ$

Trigonometry - Trigonometric Graphs and Parameters

Trigonometry - Trigonometric Graphs and Parameters

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