document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #114881 by Alan3354(69443) $\"\"$ $\"About$

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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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\n" ); document.write( "x = 10*cos(120)
\n" ); document.write( "y = 10*sin(120)
\n" ); document.write( "------------
\n" ); document.write( " $\"x+=+10%2A+%28-1%2F2%29\"$
\n" ); document.write( " $\"y+=+10%2A+sqrt%283%29%2F2\"$
\n" ); document.write( "so the point is:
\n" ); document.write( "-5, $\"5%2Asqrt%283%29\"$
\n" ); document.write( " \n" ); document.write( "

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