SOLUTION: What are the coordinates of the point P(x,y) on the unit circle if it corresponds to the central angle of 240 degrees?

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Question 658380: What are the coordinates of the point P(x,y) on the unit circle if it corresponds to the central angle of 240 degrees?

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What are the coordinates of the point P(x,y) on the unit circle if it corresponds to the central angle of 240 degrees?
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You probably mean a 240 deg angle in standard position instead of a central angle which could be in any specified position.
..
240º places the reference angle of 60º in quadrant III where sin and cos<0
In a unit circle the hypotenuse =1
The opposite side is the y-coordinate on the unit circle=sin
The adjacent side is the x-coordinate on the unit circle=cos
x-coordinate=-0.5
y-coordinate=-√3/2
P(x,y)=P(-0.5,-√3/2)

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