- (i) Sketch on the same diagram the graphs of \(y = \sin 2 x\) and \(y = \tan \frac { x } { 2 }\) for \(x\) in the interval \(0 \leq x \leq 360 ^ { \circ }\).
(ii) Hence state how many solutions exist to the equation
$$\sin 2 x = \tan \frac { x } { 2 } ,$$
for \(x\) in the interval \(0 \leq x \leq 360 ^ { \circ }\) and give a reason for your answer.