Question 1197763: The rectangular coordinates (2, square root of 3 can be written by all of the following except one. Which one?
A. (-4, 2pi/3)
B. (4, - pi/3)
C. (-4, 8pi/3)
D. (4, -2pi/3)
E. (4, 5pi/3)
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
A and B are equivalent because the magnitudes are opposite and the angles differ by pi radians.
C is equivalent to A because the magnitudes are the same and the angles differ by 2pi.
E is equivalent to B because the magnitudes are the same and the angles differ by 2pi.
D is NOT equivalent to B because the magnitudes are the same and the angles differ by pi/3.
So A, B, C, and E are equivalent; D is different.
But NONE of them are equivalent to (2,sqrt(3)). That point is in quadrant I; D is in quadrant III and the others are in quadrant IV.
The statement of the problem is faulty.
Answer by math_tutor2020(3817)  (Show Source):
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