document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824912>Question 824912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of tan(a-b) if cos a=4/5 sin b=-5/13 270 degrees < a < 360 degrees and 270 degrees < b < 360 degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497018 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=497018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of tan(a-b) if cos a=4/5 sin b=-5/13 270 degrees < a < 360 degrees and 270 degrees < b < 360 degrees.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "reference angles a and b in quadrant IV, in which tan<0.<BR>\n" );
document.write( "Identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a-b%29=%28tan%28a%29-tan%28b%29%29%2F%281%2Btan%28a%29tan%28b%29%29 ALIGN=MIDDLE  ALT=\"tan%28a-b%29=%28tan%28a%29-tan%28b%29%29%2F%281%2Btan%28a%29tan%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "cosa=4/5 (working with a (3-4-5) reference right triangle)<BR>\n" );
document.write( "sina=-3/5<BR>\n" );
document.write( "tana=sina/cosa=-3/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sinb=-5/13 (working with a (5-12-13) reference right triangle)<BR>\n" );
document.write( "cosb=12/13 <BR>\n" );
document.write( "tanb=sinb/cosb=-5/12<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a-b%29=%28-3%2F4-%28-5%2F12%29%29%2F%281%2B%28-3%2F4%29%28-5%2F12%29%29 ALIGN=MIDDLE  ALT=\"tan%28a-b%29=%28-3%2F4-%28-5%2F12%29%29%2F%281%2B%28-3%2F4%29%28-5%2F12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a-b%29=%28-3%2F4%2B5%2F12%29%2F%281%2B%2815%2F48%29%29=-16%2F63 ALIGN=MIDDLE  ALT=\"tan%28a-b%29=%28-3%2F4%2B5%2F12%29%2F%281%2B%2815%2F48%29%29=-16%2F63\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );