document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433559>Question 433559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> verify the question<BR>\n" );
document.write( "sec^2x-csc^2x=(tanx-cotx)/(sinx*cosx) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300535 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use these identities:\r<BR>\n" );
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document.write( "tan^2x+1 = sec^2x)\r<BR>\n" );
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document.write( "1 + cot^2x = csc^2x\r<BR>\n" );
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document.write( "prove that left side is equal to right side:\r<BR>\n" );
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document.write( "sec^2x-csc^2x=(tan^2x + 1)-(1 +cot^2x \r<BR>\n" );
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document.write( "=tan^2 x + 1-1 - cot^2 x\r<BR>\n" );
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document.write( "=tan^2x - cot^2x\r<BR>\n" );
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document.write( "=(tan x - cotx)(tan x + cotx)..................use identities tanx= sinx/cosx  and cotx = cosx/sinx\r<BR>\n" );
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document.write( "=(tan x - cotx)(sin x/cos x +cos x/sin x)\r<BR>\n" );
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document.write( "=(tan x - cotx)((sin xsin x +cos xcos x)/sin xcos x\r<BR>\n" );
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document.write( "=(tan x - cotx)((sin ^2x +cos^2 x)/sin xcos x\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan+x+-+cotx%29%281%2Fsin+xcos+x%29 ALIGN=MIDDLE  ALT=\"%28tan+x+-+cotx%29%281%2Fsin+xcos+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan+x+-+cotx%29%2Fsin+xcos+x ALIGN=MIDDLE  ALT=\"%28tan+x+-+cotx%29%2Fsin+xcos+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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