Answer:
(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
Step-by-step explanation:
Given the rectangular coordinate
(2√3,-2)
x = 2√3
y = 2
For polar coordinate;
x =r cos theta
y = rsin theta
r = √x²+y²
r = √(2√3)²+(-2)²
r = √4(3) + 4
r = √12+4
r = 4
theta = arctan(y/x)
theta = arctan(-2/2√3)
theta = arctan(-1/√3)
theta = -30
theta = 180 - 30
theta = 150degrees
x = 4cos 150
y = 4sin150
The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
The polar coordinates of the point are
