Accedmychevron_right11thchevron_rightmathchevron_rightComplex Numberschevron_rightExercise 1.5

(i) (2,75)(2,75^\circ)

Here r=2>0r=2>0 and θ=75\theta=75^\circ.

The point is 22 units from the origin at an angle 7575^\circ from the positive xx-axis.

x=rcosθ=2cos75y=rsinθ=2sin75\begin{aligned} x&=r\cos\theta=2\cos 75^\circ\\ y&=r\sin\theta=2\sin 75^\circ \end{aligned}