- (i) Solve, for \(0 \leqslant x < \frac { \pi } { 2 }\), the equation
$$4 \sin x = \sec x$$
(ii) Solve, for \(0 \leqslant \theta < 360 ^ { \circ }\), the equation
$$5 \sin \theta - 5 \cos \theta = 2$$
giving your answers to one decimal place.
(Solutions based entirely on graphical or numerical methods are not acceptable.)