Which set of polar coordinates describes the same location as the regular coordinates (-5,0)? A.(5,90) B. (5,0) C.(5,180) D. (-5 ,270)
1 answer:
The <u>correct answer</u> is: (5, 180°).Explanation : To convert polar coordinates in the form (r, θ) to rectangular coordinates in the form (x, y): x = r cos θ y = r sin θ For the first choice, (5, 90°): x = 5 cos 90 = 5(0) = 0 This is not the correct x-coordinate, so this does not work. For the second choice, (5, 0°): x = 5 cos 0 = 5(1) = 5 This is not correct; we want x = -5. For the third choice, (5, 180°): x = 5 cos 180 = 5(-1) = -5 This is correct. Now to check the y=coordinate: y = 5 sin 180 = 5(0) = 0 This gives us the correct coordinates.
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