document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34343>Question 34343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove this identity: tan to the second power theta + sec to the second power theta = 2 sec to the second power theta - 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20596 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Prove that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%5E2%28A%29+%2B+sec%5E2%28A%29+=+2sec%5E2%28A%29+-+1+ ALIGN=MIDDLE  ALT=\"+tan%5E2%28A%29+%2B+sec%5E2%28A%29+=+2sec%5E2%28A%29+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is a straightforward one to prove, since we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%5E2%28A%29+%2B+1+=+sec%5E2%28A%29+ ALIGN=MIDDLE  ALT=\"+tan%5E2%28A%29+%2B+1+=+sec%5E2%28A%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Using, this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%5E2%28A%29+=+sec%5E2%28A%29+-+1+ ALIGN=MIDDLE  ALT=\"+tan%5E2%28A%29+=+sec%5E2%28A%29+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can sub this into the right hand side as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%5E2%28A%29+%2B+sec%5E2%28A%29+ ALIGN=MIDDLE  ALT=\"+tan%5E2%28A%29+%2B+sec%5E2%28A%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sec%5E2%28A%29+-+1+%2B+sec%5E2%28A%29+ ALIGN=MIDDLE  ALT=\"+sec%5E2%28A%29+-+1+%2B+sec%5E2%28A%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2sec%5E2%28A%29+-+1+ ALIGN=MIDDLE  ALT=\"+2sec%5E2%28A%29+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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