document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618404>Question 618404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> rewirte sin x^4 so that it involves only the first power of cosine..? stuck lol </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388870 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I presume you mean\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sin^4(x)\">\r<BR>\n" );
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document.write( "Which is to say\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\sin(x)\right)^4\">\r<BR>\n" );
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document.write( "As opposed to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sin(x^4)\">\r<BR>\n" );
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document.write( "which is what you actually wrote.\r<BR>\n" );
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document.write( "Given that, write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sin^4(x)\ =\ \left(\sin^2(x)\right)\left(\sin^2(x)\right)\">\r<BR>\n" );
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document.write( "Then use the Pythagorean identity:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\sin^2(x)\right)\left(\sin^2(x)\right)\ =\ \left(1\ -\ \cos^2(x)\right)\left(1\ -\ \cos^2(x)\right)\">\r<BR>\n" );
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document.write( "Then use the difference of two squares factorization:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(1\ -\ \cos^2(x)\right)\left(1\ -\ \cos^2(x)\right)\ =\ \left(1\ -\ \cos(x)\right)\left(1\ +\ \cos(x)\right)\left(1\ -\ \cos(x)\right)\left(1\ +\ \cos(x)\right)\">\r<BR>\n" );
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document.write( "Which is the desired result.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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