document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=904033>Question 904033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can somebody please show how to find the reference angles for these values. The steps, not just the answe could be really helpful to so I can see how to solve<BR>\n" );
document.write( "thanks in advance.\r<BR>\n" );
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document.write( "a) -25pi/18<BR>\n" );
document.write( "b)-7pi/9<BR>\n" );
document.write( "c)-29pi/18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548521 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can first convert each<BR>\n" );
document.write( "angle to a positive angle<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "A negative angle starts at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0%2Api+ ALIGN=MIDDLE  ALT=\"+0%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and rotates CW<BR>\n" );
document.write( "The whole circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Api+=+%28+36%2F18%29%2Api+ ALIGN=MIDDLE  ALT=\"+2%2Api+=+%28+36%2F18%29%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+36%2F18+%29%2Api+-+%28+25%2F18+%29%2Api+=+%28+11%2F18+%29%2Api+ ALIGN=MIDDLE  ALT=\"+%28+36%2F18+%29%2Api+-+%28+25%2F18+%29%2Api+=+%28+11%2F18+%29%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That would be the positive version of the angle<BR>\n" );
document.write( "which is arrived at by rotating CCW from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0%2Api+ ALIGN=MIDDLE  ALT=\"+0%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Which quadrant is it in?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F18+%29%2Api+ ALIGN=MIDDLE  ALT=\"+%289%2F18+%29%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 90 degrees<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2811%2F18%29%2Api+ ALIGN=MIDDLE  ALT=\"+%2811%2F18%29%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F18%29%2Api+ ALIGN=MIDDLE  ALT=\"+%282%2F18%29%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "past 90 degrees ( 2nd quadrant )<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "That means it makes an angle of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287%2F18%29%2Api+ ALIGN=MIDDLE  ALT=\"+%287%2F18%29%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the horizontal<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "The components of this angle are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-cos%28+%287%2F18%29%2Api+%29+ ALIGN=MIDDLE  ALT=\"+-cos%28+%287%2F18%29%2Api+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( x-coordinate )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28+%287%2F18%29+%2Api+%29+ ALIGN=MIDDLE  ALT=\"+sin%28+%287%2F18%29+%2Api+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( y-coorinate )<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Hope this helps\r<BR>\n" );
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document.write( " </SPAN>\n" );
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