Convert the polar coordinate (6, 2𝝅/3) to Cartesian coordinates.

Question

X=?

Y=?

Answer 1

(6, 2pi/3) = (6, 120) in polar coordinates

= (-3, 3sqr3) in rectangular coordinates

hypotenuse = 6

adjacent side = -3

opposite side = 3sqr3

6^2 = 36 = (-3)^2 + (3sqr3)^2 = 9 +27