- (i) Showing each step in your reasoning, prove that
$$( \sin x + \cos x ) ( 1 - \sin x \cos x ) \equiv \sin ^ { 3 } x + \cos ^ { 3 } x$$
(ii) Solve, for \(0 \leqslant \theta < 360 ^ { \circ }\),
$$3 \sin \theta = \tan \theta$$
giving your answers in degrees to 1 decimal place, as appropriate.
(Solutions based entirely on graphical or numerical methods are not acceptable.)