Answer to Question #348426 in Analytic Geometry for Nomsa

Question

Convert into rectangular coordinates (4,-2π\3)

Answer 1

$$x=r\cos \theta=4\cos(-2\pi/3)=-2$$

$$y=r\sin \theta=4\sin(-2\pi/3)=-2\sqrt{3}$$

$(-2, -2\sqrt{3})$