document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057127>Question 1057127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have to prove this identity:  1/ tanx + tanx = sec^2x/tanx <BR>\n" );
document.write( "i do have an idea on what to do but i get stuck every time <BR>\n" );
document.write( "this is what i did<BR>\n" );
document.write( "1/ tanx + tanx = sec^2x/tanx <BR>\n" );
document.write( "cot x + 1/ cot x = <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 #672206 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=672206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Starting with the left side, combine 1/tan x and tan x into a single fraction.\r<BR>\n" );
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document.write( "You can do this by multiplying tax by (tan x / tan x):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ftan+x+%2B+tan+x+=+1%2Ftanx+%2B+%28tan+x%29%28tan+x+%2F+tan+x%29+=+%281+%2B+%28tan+x%29%5E2%29%2F+tan+x+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then, from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin+x%29%5E2+%2B+%28cos+x%29%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28sin+x%29%5E2+%2B+%28cos+x%29%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+%28tan+x%29%5E2+=+%28sec+x%29%5E2%29 ALIGN=MIDDLE  ALT=\"1+%2B+%28tan+x%29%5E2+=+%28sec+x%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "by dividing through by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos+x%29%5E2 ALIGN=MIDDLE  ALT=\"%28cos+x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sec+x%29%5E2 ALIGN=MIDDLE  ALT=\"%28sec+x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in place of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+%28tan+x%29%5E2 ALIGN=MIDDLE  ALT=\"1+%2B+%28tan+x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ftan+x+%2B+tan+x+=++%28%28sec+x%29%5E2%29%2F%28tan+x%29%29+ ALIGN=MIDDLE  ALT=\"1%2Ftan+x+%2B+tan+x+=++%28%28sec+x%29%5E2%29%2F%28tan+x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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