- In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
- Solve, for \(0 < \theta \leqslant 360 ^ { \circ }\) the equation
$$2 \tan \theta + 3 \sin \theta = 0$$
giving your answers, as appropriate, to one decimal place.
- Hence, or otherwise, find the smallest positive solution of
$$2 \tan \left( 2 x + 40 ^ { \circ } \right) + 3 \sin \left( 2 x + 40 ^ { \circ } \right) = 0$$
giving your answer to one decimal place.