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Higher November 2022 Unit 1 Q20

WJECHigherCurrent spec2 marksExact Trig & Graphs

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

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

Given that \(\cos 25^\circ = 0{\cdot}9063\), correct to 4 decimal places, write down all the solutions of the equation

\(\cos x = -0{\cdot}9063\)

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