document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777562>Question 777562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply and simplify.<BR>\n" );
document.write( "(sin x - cos x)(sec x + csc x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474539 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "(sin x - cos x)(sec x + csc x)=<BR>\n" );
document.write( "sinx*secx+sinx*cscx-cosx*secx-cosx*cscx=<BR>\n" );
document.write( "= sin/cos - cos/sin<BR>\n" );
document.write( "= tan(x) - cot(x)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "= (sin^2 - cos^2)/sin*cos<BR>\n" );
document.write( "= -cos(2x)/(sin(2x)/2)<BR>\n" );
document.write( "= -2cot(2x)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Whichever you think is simpler.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );