Question

How do you plot the polar coordinate `(3,150^o)`?

Answer 1

Please see below.

Explanation:

A polar coordinate `(r,theta)` in Cartesian coordinates is

`(rcostheta,rsintheta)`

Hence, `(3,150^@)` in polar coordinate is

`(3cos150^@,3sin150^@)` or `(3xx(-sqrt3/2),3xx1/2)`

or `(-2.598,1.5)` as Cartesian coordinates.

One can also draw an agle of `150^@` on origin and trace the point `3` units on it.

graph{((x+(3sqrt3)/2)^2+(y-3/2)^2-0.005)(y+x/sqrt3)=0 [-5.188, 4.81, -2.18, 2.82]}