SOLUTION: A circle centered at the origin has a radius of 6sqrt2. If the point(6sqrt2,0) is rotated 45 degrees clockwise, determine the coordinates of the new point.
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Question 141712: A circle centered at the origin has a radius of 6sqrt2. If the point(6sqrt2,0) is rotated 45 degrees clockwise, determine the coordinates of the new point.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x = rcos(theta)
y = rsin(theta)
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Your problem:
x = 6sqrt(2)cos(-45) = 6sqrt(2)[1/sqrt(2)] = 6
y = 6sqrt(2)sin(-45) = 6sqrt(2)[-1/sqrt(2)] = = -6
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Cheers,
Stan H.
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