document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503172>Question 503172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when tanxsin^2x=tanx, and looking at the intervals [0,2pie) why is 0 and pie the only solutions for x? Shouldn't the solutions also include pie/2 and 3pie/2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339107 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=339107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \tan(x) = \frac{\sin(x)}{\cos(x)}\"> this means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \tan(\frac{\pi}{2}) = \frac{\sin(\frac{\pi}{2})}{\cos(\frac{\pi}{2})} = \frac{1}{0}\"> \r<BR>\n" );
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document.write( "which is undefined (since you CANNOT divide by zero).\r<BR>\n" );
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document.write( "The same applies when <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x=\frac{3\pi}{2}\">\r<BR>\n" );
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document.write( "So because these values make the tangent function undefined, this means that they are NOT part of the domain. So this means that they are NOT part of the solution set (since everything in the solution set must be in the domain) </SPAN>\n" );
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