8 In this question solutions based entirely on graphical or numerical methods are not acceptable.
- Solve for \(0 \leqslant x < 360 ^ { \circ }\),
$$4 \cos \left( x + 70 ^ { \circ } \right) = 3$$
giving your answers in degrees to one decimal place.
- Find, for \(0 \leqslant \theta < 2 \pi\), all the solutions of
$$6 \cos ^ { 2 } \theta - 5 = 6 \sin ^ { 2 } \theta + \sin \theta$$
giving your answers in radians to 3 significant figures.