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Higher November 2023 Unit 1 Q19

WJECHigherCurrent spec2 marksExact Trig & Graphs

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

Sketch of y = tan x from 0° to 360°, with asymptotes at 90° and 270°, crossing the x-axis at 0°, 180° and 360°; y-axis marked 1 and −1

Given that \(\tan 71^\circ = 2{\cdot}9042\), correct to 4 decimal places, write down all the solutions of the equation

\[\tan x = -2{\cdot}9042\]

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