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

1 Answer
May 29, 2017

Please see below.

Explanation:

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

(rcostheta,rsintheta)(rcosθ,rsinθ)

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

(3cos150^@,3sin150^@)(3cos150,3sin150) or (3xx(-sqrt3/2),3xx1/2)(3×(32),3×12)

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

One can also draw an agle of 150^@150 on origin and trace the point 33 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]}