- (i) Sketch the curve \(y = \sin x ^ { \circ }\) for \(x\) in the interval \(- 180 \leq x \leq 180\).
(ii) Sketch on the same diagram the curve \(y = \sin ( x - 30 ) ^ { \circ }\) for \(x\) in the interval \(- 180 \leq x \leq 180\).
(iii) Use your diagram to solve the equation
$$\sin x ^ { \circ } = \sin ( x - 30 ) ^ { \circ }$$
for \(x\) in the interval \(- 180 \leq x \leq 180\).