5. In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
Solve, for \(- 180 ^ { \circ } < \theta \leqslant 180 ^ { \circ }\), the equation $$3 \tan \left( \theta + 43 ^ { \circ } \right) = 2 \cos \left( \theta + 43 ^ { \circ } \right)$$