- In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
- Show that
$$\operatorname { cosec } \theta - \sin \theta \equiv \cos \theta \cot \theta \quad \theta \neq ( 180 n ) ^ { \circ } \quad n \in \mathbb { Z }$$
- Hence, or otherwise, solve for \(0 < x < 180 ^ { \circ }\)
$$\operatorname { cosec } x - \sin x = \cos x \cot \left( 3 x - 50 ^ { \circ } \right)$$