SOLUTION: A point P lies on the unit circle and on the terminal arm with a rotation of {{{17pi/6}}}. What are the coordinates of P?

Question 549611: A point P lies on the unit circle and on the terminal arm with a rotation of . What are the coordinates of P?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A point P lies on the unit circle and on the terminal arm with a rotation of 17pi/6. What are the coordinates of P?
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18π/6 is a rotation of 3π, so 17π/6 is π/6 short of 3π which places a reference angle of π/6 in quadrant II where tan π/6=y/x=1/-√3=opposite/adjacent sides of a right triangle with hypotenuse=2. In a unit circle, the hypotenuse=1, so opposite/adjacent=(1/2)/(-√3/2). Therefore, coordinates of P in a unit circle are:(-√3/2,1/2)
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