document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451415>Question 451415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that the identity is true\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28x%29%5E3=+tan%28x%29sec%28x%29%5E2-tan%28x%29+ ALIGN=MIDDLE  ALT=\"+tan%28x%29%5E3=+tan%28x%29sec%28x%29%5E2-tan%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310504 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=310504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> tan(x)^3= tan(x)sec(x)^2-tan(x)<BR>\n" );
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document.write( "tan(x)^3= tan(x)sec(x)^2-tan(x)<BR>\n" );
document.write( "Starting with right-hand side<BR>\n" );
document.write( "tan(x)sec(x)^2-tan(x)<BR>\n" );
document.write( "identity: tan^2(x)+1=sec^2(x)<BR>\n" );
document.write( "=tan(x)(tan^2(x)+1)-tan(x)<BR>\n" );
document.write( "=tan^3(x)+tan(x)-tan(x)<BR>\n" );
document.write( "=tan^3(x)<BR>\n" );
document.write( "Verified: right-hand side=left-hand side </SPAN>\n" );
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