SOLUTION: POLAR COORDINATES AND COMPLEX NUMBERS: Find the polar coordinates of the points with rectangular coordinates: (-2, 2 sqrt3) a. (4, pi/3) b. (4, 2pi/3) c. (4, 5pi/6) d. (2, 2pi/

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: POLAR COORDINATES AND COMPLEX NUMBERS: Find the polar coordinates of the points with rectangular coordinates: (-2, 2 sqrt3) a. (4, pi/3) b. (4, 2pi/3) c. (4, 5pi/6) d. (2, 2pi/      Log On


   

Question 337098: POLAR COORDINATES AND COMPLEX NUMBERS: Find the polar coordinates of the points with rectangular coordinates: (-2, 2 sqrt3)
a. (4, pi/3)
b. (4, 2pi/3)
c. (4, 5pi/6)
d. (2, 2pi/3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
r%5E2=%28-2%29%5E2%2B%282sqrt%283%29%29%5E2
r%5E2=4%2B12
r%5E2=16
r=4
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.
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tan%28theta%29=%282sqrt%283%29%29%2F%28-2%29
tan%28theta%29=-sqrt%283%29
theta=%282%2Api%29%2F3
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b) is the correct answer.