document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602454>Question 602454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that the ff equation is an identity:\r<BR>\n" );
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document.write( "((1 - tanX)/(secX))  + ((secX)/(tanX))  =  ((1+tanX)/(secX)(tanX))\r<BR>\n" );
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document.write( "I end up with the left side having tan + sec^2 X as the numerator. How should I solve this properly? Please show the steps as well so that I can understand it better. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380258 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=380258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1 - tanX)/(secX) + (secX)/(tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "(tanX(1 - tanX))/(secX tanX) + (secX)/(tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "(tanX - tan^2 X))/(secX tanX) + (secX)/(tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "(tanX - tan^2 X))/(secX tanX) + (secX*secX)/(secX tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "(tanX - tan^2 X))/(secX tanX) + (sec^2 X)/(secX tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "(tanX - tan^2 X + sec^2 X)/(secX tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "(tanX  + sec^2 X - tan^2 X)/(secX tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "(tanX  + 1)/(secX tanX) = (1+tanX)/(secX tanX)\r<BR>\n" );
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document.write( "(1 + tanX)/(secX tanX) = (1+tanX)/(secX tanX) \r<BR>\n" );
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document.write( "So we've shown that the original equation is indeed a true identity.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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