(a) Sketch the graph of\[y = \sin 2x\]for \(0^\circ \leqslant x \leqslant 360^\circ\) [2 marks]
(b) The equation\[\sin 2x = A\]has exactly two solutions for \(0^\circ \leqslant x \leqslant 360^\circ\)
State the possible values of \(A\). [1 mark]
Mark scheme (a)
Scheme
Marks
AO
Sketches sine wave with correct orientation through the origin to at least one period Ignore any numbers on \(y\)-axis
M1
1.1a
Sketches \(y = \sin 2x\) through the correct axes intersections Condone only slight difference in amplitudes Ignore any numbers on \(y\)-axis Ignore any sections of the graph outside of \(0^\circ \leqslant x \leqslant 360^\circ\)
