document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=650299>Question 650299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, \r<BR>\n" );
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document.write( "I am just beginning Precalculus, and am confused about the process that involves solving for theta where there are actually two answers. I kind of understand the concept (the angle and its inverse, somehow) but do not know how to actually reach the two answers.\r<BR>\n" );
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document.write( "The problem I am looking at is cos (&#952;) = -&#8730;(3)/2\r<BR>\n" );
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document.write( "I have tried several methods that end in bizarre answers. Any help would be appreciated, thank you.\r<BR>\n" );
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document.write( "-Alex </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407291 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Hi, \r<BR>\n" );
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document.write( "I am just beginning Precalculus, and am confused about the process that involves solving for theta where there are actually two answers. I kind of understand the concept (the angle and its inverse, somehow) but do not know how to actually reach the two answers.\r<BR>\n" );
document.write( "\n" );
document.write( "The problem I am looking at is cos (&#952;) = -&#8730;(3)/2\r<BR>\n" );
document.write( "\n" );
document.write( "I have tried several methods that end in bizarre answers. Any help would be appreciated, thank you.\r<BR>\n" );
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document.write( "-Alex\r<BR>\n" );
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document.write( "cos (&#952;) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+%28sqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"-+%28sqrt%283%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E-1%28%28-+sqrt%283%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"cos%5E-1%28%28-+sqrt%283%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-30%5Eo ALIGN=MIDDLE  ALT=\"-30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As the angle is cos and < 0, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28-+30%29 ALIGN=MIDDLE  ALT=\"cos%28-+30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the 2nd quadrant, where its reference angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28150%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%28150%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in the 3rd quadrant where its reference angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28210%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%28210%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "You could also look at the unit circle and see that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28%28-+sqrt%283%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"cos%28%28-+sqrt%283%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%5Eo ALIGN=MIDDLE  ALT=\"150%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210%5Eo ALIGN=MIDDLE  ALT=\"210%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the 2nd and 3rd quadrants, respectively.\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com  </SPAN>\n" );
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