document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142053>Question 142053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The point (-1/2,sqrt3/2) on the unit circle is rotated 60 degrees clockwise. Determine the coordinates of the new point. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103439 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The point (-1/2,sqrt3/2) on the unit circle is rotated 60 degrees clockwise. Determine the coordinates of the new point.<BR>\n" );
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document.write( "The point is in the 2nd Quadrant.<BR>\n" );
document.write( "The reference angle is inverse sin(1/2) and inverse cos(sqrt(3)/2) is <BR>\n" );
document.write( "30 degrees.<BR>\n" );
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document.write( "The angle of the given point in the 2nd quadrant  is 180-30 = 150 degrees<BR>\n" );
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document.write( "You rotate 60 degrees clockwise and end up at 90 degrees<BR>\n" );
document.write( "where the coordinates are (0,1).<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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