12. [In this question solutions based entirely on graphical or numerical methods are not acceptable.]
- Solve for \(0 \leqslant x < 360 ^ { \circ }\),
$$5 \sin \left( x + 65 ^ { \circ } \right) + 2 = 0$$
giving your answers in degrees to one decimal place.
- Find, for \(0 \leqslant \theta < 2 \pi\), all the solutions of
$$12 \sin ^ { 2 } \theta + \cos \theta = 6$$
giving your answers in radians to 3 significant figures.