In this question you must show all stages of your working. (Solutions based entirely on graphical or numerical methods are not acceptable.)
Solve for \(0 \leqslant x < 360 ^ { \circ }\), giving your answers in degrees to 1 decimal place,
$$3 \sin \left( x + 45 ^ { \circ } \right) = 2$$
Find, for \(0 \leqslant x < 2 \pi\), all the solutions of
$$2 \sin ^ { 2 } x + 2 = 7 \cos x$$
giving your answers in radians.
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