document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930754>Question 930754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the square identities to simplify 2(sin^2x)(sin^2x).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A.3%2B4cos%282x%29%2Bcos%284x%29 ALIGN=MIDDLE  ALT=\"A.3%2B4cos%282x%29%2Bcos%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B.3-4cos%282x%29%2Bcos%284x%29 ALIGN=MIDDLE  ALT=\"B.3-4cos%282x%29%2Bcos%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C.3-4cos%282x%29-cos%284x%29 ALIGN=MIDDLE  ALT=\"C.3-4cos%282x%29-cos%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D.3%2B4cos%282x%29-cos%284x%29 ALIGN=MIDDLE  ALT=\"D.3%2B4cos%282x%29-cos%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565260 by </B><A HREF=/tutors/aboutme.mpl?userid=rcdodds><B>rcdodds(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcdodds><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=rcdodds><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The trigonometric identity says that sin^2(x) = 1/2 - cos(2x)/2\r<BR>\n" );
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document.write( "Substituting this into the original equation and solving using trigonometric algebra gives us...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2-cos%282x%29%2B%28cos%5E2%282x%29%29%2F2 ALIGN=MIDDLE  ALT=\"1%2F2-cos%282x%29%2B%28cos%5E2%282x%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We also know from this identity that cos^2(2x)/2 = 1/4 + cos(4x)/4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4+-+cos%282x%29+%2B+cos%284x%29%2F4 ALIGN=MIDDLE  ALT=\"3%2F4+-+cos%282x%29+%2B+cos%284x%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+4cos%282x%29+%2B+cos%284x%29 ALIGN=MIDDLE  ALT=\"3+-+4cos%282x%29+%2B+cos%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we know that our answer is B </SPAN>\n" );
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