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

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Answer 1 · 2017-05-29T17:26:12

Please see below.

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]}