document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834804>Question 834804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find values of sin(a-b)if cos a=15/17, cot b=24/7, 0 degrees<a<90 degress, and 0 degrees< b< 90 degreea </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503254 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=503254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find values of sin(a-b)if cos a=15/17, cot b=24/7, 0 degrees<a<90 degress, and 0 degrees< b< 90 degreea.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-b%29=sin%28a%29cos%28b%29-cos%28a%29sin%28b%29 ALIGN=MIDDLE  ALT=\"sin%28a-b%29=sin%28a%29cos%28b%29-cos%28a%29sin%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cos(a)=15/17<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=sqrt%281-cos%5E2%28a%29%29=sqrt%281-%28225%2F289%29%29=sqrt%2864%2F289%29=8%2F17 ALIGN=MIDDLE  ALT=\"sin%28a%29=sqrt%281-cos%5E2%28a%29%29=sqrt%281-%28225%2F289%29%29=sqrt%2864%2F289%29=8%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sin(a)=8/17<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cot(b)=24/7<BR>\n" );
document.write( "hypotenuse=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2824%5E2%2B7%5E2%29=sqrt%2824%5E2%2B7%5E2%29=sqrt%28625%29=25 ALIGN=MIDDLE  ALT=\"sqrt%2824%5E2%2B7%5E2%29=sqrt%2824%5E2%2B7%5E2%29=sqrt%28625%29=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sin(b)=7/25<BR>\n" );
document.write( "cos(b)=24/25<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-b%29=%288%2F17%29%2824%2F25%29-%2815%2F17%29%287%2F25%29 ALIGN=MIDDLE  ALT=\"sin%28a-b%29=%288%2F17%29%2824%2F25%29-%2815%2F17%29%287%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-b%29=%288%2F17%29%2824%2F25%29-%2815%2F17%29%287%2F25%29=87%2F425 ALIGN=MIDDLE  ALT=\"sin%28a-b%29=%288%2F17%29%2824%2F25%29-%2815%2F17%29%287%2F25%29=87%2F425\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "calculator check:<BR>\n" );
document.write( "cos(a)=15/17<BR>\n" );
document.write( "a&#8776;28.07&#730;<BR>\n" );
document.write( "tan(b)=7/24<BR>\n" );
document.write( "b&#8776;16.26&#730;<BR>\n" );
document.write( "a-b&#8776;28.07-16.26&#8776;11.81&#730;<BR>\n" );
document.write( "sin(a-b)=sin(11.81)&#8776;0.2046..<BR>\n" );
document.write( "exact value as calculated=87/425&#8776;0.2047.. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );