(Solved): 1. (a) The terminal arm of an angle \( \theta \) in standard position passes through the point \( Q ...

1. (a) The terminal arm of an angle \( \theta \) in standard position passes through the point \( Q(-2,3) \). Find a value of \( \theta \) in the interval \( \left[0^{\circ}, 360^{\circ}\right] \) to the nearest tenth of a degree. Sketch the position of the angle. (3 marks) Solution