November 2021 Paper 1 Q6

AQACurrent spec2 marksExact Trig Values & Graphs

6 Here is a sketch of \(\quad y = \sin x \quad\) for \(\quad 0^\circ \leqslant x \leqslant 360^\circ\)

Graph of y = sin x from 0° to 360°, with y from −1 to 1 and x marked at 0°, 90°, 180°, 270°, 360°

You are given that \(\quad \sin 220^\circ = -k\)

Work out the two values of \(x\) for \(\quad 0^\circ \leqslant x \leqslant 360^\circ \quad\) for which \(\quad y = k\) [2 marks]