Plot the point with the given polar coordinates 2 2 pi3 Choo

Plot the point with the given polar coordinates. (2, 2 pi/3) Choose the graph below that represents the point(2, 2 pi/3).

Solution

theta=2pi/3= 2×180/3 = 120 degrees
r=2
x = r cos(theta) = 2 (-1/2) =(-1)

y = r sin (theta) = 2 (sqrt3)/2 = sqrt3
So, the rectangular coordinates of the given point is:
(-1,sqrt3)

graph is B) because angle is 120 degrees and r=2

And angle in second quadrant.