First Principles AI

Accedmychevron_right11thchevron_rightmathchevron_rightComplex Numberschevron_rightExercise 1.5

(iv) $(5,\dfrac{5\pi}{6})$

Here $r=5>0$ and $\theta=\dfrac{5\pi}{6}$ .

\begin{aligned} x&=5\cos\frac{5\pi}{6}=-\frac{5\sqrt{3}}{2}\\ y&=5\sin\frac{5\pi}{6}=\frac{5}{2} \end{aligned}