- (a) Find all the values of \(\theta\), to 1 decimal place, in the interval \(0 ^ { \circ } \leqslant \theta < 360 ^ { \circ }\) for which
$$5 \sin \left( \theta + 30 ^ { \circ } \right) = 3$$
(b) Find all the values of \(\theta\), to 1 decimal place, in the interval \(0 ^ { \circ } \leqslant \theta < 360 ^ { \circ }\) for which
$$\tan ^ { 2 } \theta = 4$$