13. (a) Solve the equation $$\operatorname { cosec } ^ { 2 } x + \cot ^ { 2 } x = 5$$ for \(0 ^ { \circ } \leq x \leq 360 ^ { \circ }\).
(b) (i) Express \(4 \sin \theta + 3 \cos \theta\) in the form \(R \sin ( \theta + \alpha )\), where \(R > 0\) and \(0 ^ { \circ } \leq \alpha \leq 90 ^ { \circ }\).
(ii) Solve the equation $$4 \sin \theta + 3 \cos \theta = 2$$ for \(0 ^ { \circ } \leq \theta \leq 360 ^ { \circ }\), giving your answer correct to the nearest degree