(ii) (−3,120∘)(-3,120^\circ)(−3,120∘) Here r=−3<0r=-3<0r=−3<0 and θ=120∘\theta=120^\circθ=120∘. Since r<0r<0r<0, the point is 333 units from the origin in the direction θ+180∘\theta+180^\circθ+180∘: 120∘+180∘=300∘120^\circ+180^\circ=300^\circ120∘+180∘=300∘ Coordinates: x=rcosθ=−3cos120∘=32y=rsinθ=−3sin120∘=−332\begin{aligned} x&=r\cos\theta=-3\cos 120^\circ=\frac{3}{2}\\ y&=r\sin\theta=-3\sin 120^\circ=-\frac{3\sqrt{3}}{2} \end{aligned}xy=rcosθ=−3cos120∘=23=rsinθ=−3sin120∘=−233