7. In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
- Solve, for \(- 90 ^ { \circ } < x < 90 ^ { \circ }\), the equation
$$3 \sin \left( 2 x - 15 ^ { \circ } \right) = \cos \left( 2 x - 15 ^ { \circ } \right)$$
giving your answers to one decimal place.
- Solve, for \(0 < \theta < 2 \pi\), the equation
$$4 \sin ^ { 2 } \theta + 8 \cos \theta = 3$$
giving your answers to 3 significant figures.