SOLUTION: A circle centered at the point of origin has a radius of 10. If the point (10,0) is rotated 120 degrees counter-clockwise, determine the coordinates of the new point in exact radic

Algebra ->  Formulas -> SOLUTION: A circle centered at the point of origin has a radius of 10. If the point (10,0) is rotated 120 degrees counter-clockwise, determine the coordinates of the new point in exact radic      Log On


   



Question 141787: A circle centered at the point of origin has a radius of 10. If the point (10,0) is rotated 120 degrees counter-clockwise, determine the coordinates of the new point in exact radical form.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A circle centered at the point of origin has a radius of 10. If the point (10,0) is rotated 120 degrees counter-clockwise, determine the coordinates of the new point in exact radical form.
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x = 10*cos(120)
y = 10*sin(120)
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x+=+10%2A+%28-1%2F2%29
y+=+10%2A+sqrt%283%29%2F2
so the point is:
-5,5%2Asqrt%283%29