SOLUTION: Convert (16,5pi/3) to exact rectangular coordinates. (16,5pi/3)= ( , )

Question 620627: Convert (16,5pi/3) to exact rectangular coordinates.
(16,5pi/3)= ( , )
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Convert (16,5pi/3) to exact rectangular coordinates.
.
(16,5pi/3)
the 16 is the magnitude
the "5pi/3" is in radians
.
5pi/3 rad is in the third quadrant
.
reference angle is:
2pi - 5pi/3
6pi/3 - 5pi/3
pi/3
.
x-value:
16 * sin(pi/3)
13.86
.
y-value:
16 * cos(pi/3)
8
.
(16,5pi/3)= (13.86, 8)

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