14. In this question, solutions based entirely on graphical or numerical methods are not acceptable.
- Solve, for \(0 \leqslant x < 360 ^ { \circ }\),
$$3 \sin x + 7 \cos x = 0$$
Give each solution, in degrees, to one decimal place.
- Solve, for \(0 \leqslant \theta < 2 \pi\),
$$10 \cos ^ { 2 } \theta + \cos \theta = 11 \sin ^ { 2 } \theta - 9$$
Give each solution, in radians, to 3 significant figures.