document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030346>Question 1030346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find dy/dx. Then use trigonometry to rite the derivative as a single trig function. \r<BR>\n" );
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document.write( "A) y = ln |cscx - cotx|<BR>\n" );
document.write( "B) y = ln |sinx|<BR>\n" );
document.write( "C) y = ln |secx + tanx|<BR>\n" );
document.write( "D) y = -ln |cosx|<BR>\n" );
document.write( "E) Prove that -ln |cosx| = ln |secx|<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 #645244 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=645244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do parts A) and B) to get you started. I'll leave parts C) through E) for you to attempt on your own. If you get stuck, then you can post a separate question.\r<BR>\n" );
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document.write( "Part A)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y = \ln|\csc(x) - \cot(x)|\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \frac{1}{\csc(x) - \cot(x)}*\frac{d}{dx}\left(\csc(x) - \cot(x)\right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \frac{1}{\csc(x) - \cot(x)}*\left(-\csc(x)*\cot(x) + \csc^2(x)\right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \frac{1}{\csc(x) - \cot(x)}*\csc(x)\left(\csc(x)-\cot(x)\right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \csc(x)*\frac{\csc(x)-\cot(x)}{\csc(x) - \cot(x)}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \csc(x)\">\r<BR>\n" );
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document.write( "Part B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y = \ln|\sin(x)|\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \frac{1}{\sin(x)}*\frac{d}{dx}\left(\sin(x)\right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \frac{1}{\sin(x)}*\cos(x)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \frac{\cos(x)}{\sin(x)}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = \cot(x)\"> </SPAN>\n" );
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