How do you plot the polar coordinate (2, (7pi)/6)(2,7π6)?

1 Answer
Apr 14, 2017

To plot (2,(7pi)/6)(2,7π6), one should plot point (-sqrt3,-1)(3,1) in Cartesian plane.

Explanation:

The relation between polar coordinate (r,theta)(r,θ) and Cartesian coordinates (x,y)(x,y) is

x=rcosthetax=rcosθ and y=rsinthetay=rsinθ

Hence for (2,(7pi)/6)(2,7π6) we have x=2×cos((7pi)/6)=2×(-sqrt3/2)=-sqrt3x=2×cos(7π6)=2×(32)=3 and y=2×sin((7pi)/6)=2×(-1/2)=-1y=2×sin(7π6)=2×(12)=1.

Hence to plot (2,(7pi)/6)(2,7π6) , one should plot point (-sqrt3,-1)(3,1).