document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=409491>Question 409491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find reference angles? How do I know which quadrant certain angles are in such as 11pi/3 and 7pi/8? Do I convert them to degrees to figure out the exact spot on the circle before finding the reference angle? How do I figure out the reference angle? Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288289 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=288289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I find reference angles? How do I know which quadrant certain angles are in such as 11pi/3 and 7pi/8? Do I convert them to degrees to figure out the exact spot on the circle before finding the reference angle? How do I figure out the reference angle?<BR>\n" );
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document.write( "You could convert to degrees if it helps you.<BR>\n" );
document.write( "If you work the problem in radians you have<BR>\n" );
document.write( "to know the 1st Q goes from 0 to pi/2<BR>\n" );
document.write( "the 2nd Q goes from pi/2 to pi<BR>\n" );
document.write( "the 3rd Q goes from pi to (3/2)pi<BR>\n" );
document.write( "the 4th Q goes from (3/2)pi to 2pi.<BR>\n" );
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document.write( "General rule: The reference angle is the<BR>\n" );
document.write( "|acute angle| between the terminal side and<BR>\n" );
document.write( "the x-axis.<BR>\n" );
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document.write( "Ref. angle of (11/3)pi is ?<BR>\n" );
document.write( "(11/3)pi = 3pi + (2/3)pi<BR>\n" );
document.write( "(11/3)pi is in the 4th Quadrant<BR>\n" );
document.write( "with -(1/3)pi as the acute angle.<BR>\n" );
document.write( "Reference angle = (1/3)pi.<BR>\n" );
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document.write( "Ref. angle of (7/8)pi is ?<BR>\n" );
document.write( "Terminal side is 2nd Q.<BR>\n" );
document.write( "Acute angle with x-axis = (1/8)pi<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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