document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374918>Question 374918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify the following identity cos(x)sin(squared)(x)+cos(cubed)(x)/<BR>\n" );
document.write( "sin(x)=cot(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266616 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=266616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "After struggling with this for 20 minutes, I finally let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ = \frac{\pi}{4}\">.\r<BR>\n" );
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document.write( "I'll leave it as an exercise for the student to verify that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \cos\left(\frac{\pi}{4}\right)\sin^2\left(\frac{\pi}{4}\right)\ +\ \frac{\cos^3\left(\frac{\pi}{4}\right)}{\sin\left(\frac{\pi}{4}\right)}\ \neq\ \cot\left(\frac{\pi}{4}\right)\">.\r<BR>\n" );
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document.write( "which provides a counter example and proves that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \cos\left(x\right)\sin^2\left(x\right)\ +\ \frac{\cos^3\left(x\right)}{\sin\left(x\right)}\ \not\equiv\ \cot\left(x\right)\">.\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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