document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449163>Question 449163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey, please can someone help me simplifying completely this trigonometric expression please: cos(x)^3-sin(x)^3/sin(x)-cos(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309024 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=309024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> hey, please can someone help me simplifying completely this trigonometric expression please: cos(x)^3-sin(x)^3/sin(x)-cos(x)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos(x)^3-sin(x)^3/sin(x)-cos(x)<BR>\n" );
document.write( "factor numerator as difference of cubes<BR>\n" );
document.write( "(cos-sin)(cos^2+cossin+sin^2)/(sin-cos)<BR>\n" );
document.write( "cos^2+sin^2=1<BR>\n" );
document.write( "-(sin-cos)(cossin+1)/(sin-cos)<BR>\n" );
document.write( "=1-cossin (ans) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );