SOLUTION: Find the rectangular coordinates of the point with the polar coordinates. (5 points) ordered pair negative 5 comma 5 pi divided by 3 ordered pair negative 5 divided by 2 co

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Question 1138309: Find the rectangular coordinates of the point with the polar coordinates. (5 points)
ordered pair negative 5 comma 5 pi divided by 3

ordered pair negative 5 divided by 2 comma 5 divided by 2

ordered pair negative 5 divided by 2 comma 5 square root 3 divided by 2

ordered pair 5 square root 3 divided by 2 comma negative 5 divided by 2

ordered pair 5 divided by 2 comma negative 5 divided by 2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


To convert from Polar Coordinates (r,theta) to Cartesian Coordinates (x,y) :
x+=+r+%2A+cos%28+theta+%29
y+=+r+%2A+sin%28+theta%29
r=-5
theta=5pi%2F3
x+=+-5%2A+cos%28+5pi%2F3+%29
x+=+-5%2A%281%2F2%29
x+=+-5%2F2
y+=+-5%2A+sin%28+5pi%2F3%29
y+=+-5%2A+%28+-sqrt%283%29%2F2%29
y+=+5sqrt%283%29%2F2%29


(x,y) =(-5%2F2,5sqrt%283%29%2F2%29)