Accedmychevron_right11thchevron_rightmathchevron_rightComplex Numberschevron_rightExercise 1.5

(iii) (2,π6)(2,\dfrac{\pi}{6})

Here r=2>0r=2>0 and θ=π6\theta=\dfrac{\pi}{6}.

x=2cosπ6=3y=2sinπ6=1\begin{aligned} x&=2\cos\frac{\pi}{6}=\sqrt{3}\\ y&=2\sin\frac{\pi}{6}=1 \end{aligned}