document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159354>Question 1159354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove sin^2 x cos^2 x + cos^4 x = (1-sinx) (1+sinx) is an identity </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782365 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=782365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Throughout this problem, I'm going to only alter the left side. The right side will stay the same the entire time.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29%2Acos%5E2%28x%29+%2B+cos%5E4%28x%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29%2Acos%5E2%28x%29+%2B+cos%5E4%28x%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29\"   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%5E2%28x%29%2Acos%5E2%28x%29+%2B+cos%5E2%28x%29%2Acos%5E2%28x%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29 ALIGN=MIDDLE   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=cos%5E2%28x%29%28sin%5E2%28x%29+%2B+cos%5E2%28x%29%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF cos^2(x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28x%29%281%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29%281%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pythagorean Identity: sin^2(x) + cos^2(x) = 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28x%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29\"   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=1-sin%5E2%28x%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29 ALIGN=MIDDLE  ALT=\"1-sin%5E2%28x%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Variation of the pythagorean identity\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-sin%28x%29%29%281%2Bsin%28x%29%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29 ALIGN=MIDDLE  ALT=\"%281-sin%28x%29%29%281%2Bsin%28x%29%29+=+%281-sin%28x%29%29%281%2Bsin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Difference of squares rule\r<BR>\n" );
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document.write( "The identity has been confirmed as we get the same expression on both sides.<BR>\n" );
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