5. (In this question, solutions based entirely on graphical or numerical methods are not acceptable.)
- Solve, for \(0 < \theta < \frac { \pi } { 2 }\)
$$5 \sin 3 \theta - 7 \cos 3 \theta = 0$$
Give each solution, in radians, to 3 significant figures.
- Solve, for \(0 < x < 360 ^ { \circ }\)
$$9 \cos ^ { 2 } x + 5 \cos x = 3 \sin ^ { 2 } x$$
Give each solution, in degrees, to one decimal place.