Question

Find the rectangular coordinates of the point with the polar coordinates.
-7, 2pi/3

Answer 1

The relationship between rectangular (x,y) and polar (r,theta) coordinates is
x= r*cos(theta)
y= r*sin(theta)

Ergo a polar coordinate of (-7,2pi/3) will have the equivalent rectangular coordinates

x= -7 * cos (2pi/3) = -7 * (-1/2) = 7/2
y= -7 * sin(2pi/3) = -7 * sqrt(3) / 2

Answer 2

oh thank you very much :)