11. In this question solutions based entirely on graphical or numerical methods are not acceptable.
- Solve, for \(0 \leqslant x < 2 \pi\),
$$3 \cos ^ { 2 } x + 1 = 4 \sin ^ { 2 } x$$
giving your answers in radians to 2 decimal places.
- Solve, for \(0 \leqslant \theta < 360 ^ { \circ }\),
$$5 \sin \left( \theta + 10 ^ { \circ } \right) = \cos \left( \theta + 10 ^ { \circ } \right)$$
giving your answers in degrees to one decimal place.