document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162318>Question 162318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve:\r<BR>\n" );
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document.write( "(sin squared) thetha - sin theta = (cos squared) thetha  (for 0 degrees , or equal to thetha < or equal to 2 pi) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119642 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=119642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This one looks like a trig relation to me. \r<BR>\n" );
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document.write( "Remember that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28theta%29%2Bsin%5E2%28theta%29=1 ALIGN=MIDDLE  ALT=\"cos%5E2%28theta%29%2Bsin%5E2%28theta%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This will rearrange easily to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28theta%29=1-sin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28theta%29=1-sin%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Put that on the right hand side of the initial equation you gave me:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29-sin%28theta%29=cos%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29-sin%28theta%29=cos%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "with our new right hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29-sin%28theta%29=1-sin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29-sin%28theta%29=1-sin%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now we can rearrange to get zero on the right hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asin%5E2%28theta%29-sin%28theta%29-1=0%29 ALIGN=MIDDLE  ALT=\"2%2Asin%5E2%28theta%29-sin%28theta%29-1=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We treat this like a quadratic equation of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-x+-1 ALIGN=MIDDLE  ALT=\"2x%5E2+-x+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x=sin(theta)\r<BR>\n" );
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document.write( "The equation factorises to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asin%28theta%29%2B1%2F2%29%28sin%28theta%29-1%29=0%29 ALIGN=MIDDLE  ALT=\"%282%2Asin%28theta%29%2B1%2F2%29%28sin%28theta%29-1%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asin%28theta%29%2B1%2F2=0 ALIGN=MIDDLE  ALT=\"2%2Asin%28theta%29%2B1%2F2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29-1%29=0 ALIGN=MIDDLE  ALT=\"sin%28theta%29-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "keep the sin(theta on the left hand sides of these and rearrange to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=-1%2F4 ALIGN=MIDDLE  ALT=\"sin%28theta%29=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=1 ALIGN=MIDDLE  ALT=\"sin%28theta%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E-1%28-1%2F4%29 ALIGN=MIDDLE  ALT=\"sin%5E-1%28-1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=-4.6083,184.6083<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E-1%281%29 ALIGN=MIDDLE  ALT=\"sin%5E-1%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=0,180,360\r<BR>\n" );
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document.write( "convert to radians by multiplying by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2Fpi ALIGN=MIDDLE  ALT=\"180%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps,<BR>\n" );
document.write( "Adam\r<BR>\n" );
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document.write( " </SPAN>\n" );
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