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Higher November 2021 Unit 1 Q17

WJECHigherCurrent spec2 marksExact Trig & Graphs

17. The following diagram shows a sketch of \(y = \sin x\) for values of \(x\) from 0° to 360°.

Sketch of y = sin x from 0° to 360°, y from −1 to 1, maximum at 90°, crossing the x-axis at 180°, minimum at 270°

Given that \(\sin 38^\circ = 0{\cdot}6157\), correct to 4 decimal places, write down all the solutions of the equation

\(\sin x = -\,0{\cdot}6157\)

for values of \(x\) from 0° to 360°. [2]