- (i) Solve, for \(0 \leqslant \theta < 180 ^ { \circ }\)
$$\sin \left( 2 \theta - 30 ^ { \circ } \right) + 1 = 0.4$$
giving your answers to 1 decimal place.
(ii) Find all the values of \(x\), in the interval \(0 \leqslant x < 360 ^ { \circ }\), for which
$$9 \cos ^ { 2 } x - 11 \cos x + 3 \sin ^ { 2 } x = 0$$
giving your answers to 1 decimal place.
You must show clearly how you obtained your answers.