document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114647>Question 1114647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How does one prove that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tanA%2BsecA-1%29%2F%28tanA-secA%2B1%29=%281%2BsinA%29%2FcosA ALIGN=MIDDLE  ALT=\"%28tanA%2BsecA-1%29%2F%28tanA-secA%2B1%29=%281%2BsinA%29%2FcosA\"   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 #729558 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=729558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How does one prove that (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/cosA<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Cross-multiply to get::<BR>\n" );
document.write( "cos(A)(tan(A)+sec(A)-1) = (1+sin(A))(tan(A)-sec(A)+1)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "sin(A) +1 -cos(A) = tanA -secA +1 + sin^2A/cos(A) - tan(A) + sin(A)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "-cos(A) = -sec(A) + sin^2(A)/cos(A)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "-cos^2(A) = -1  + sin^2(A)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "sin^2(A)+cos^2(A) - 1 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "0 = 0<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );