document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106069>Question 1106069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B are acute angles. Cos A equals 24/25 and Tan B equals 15/8. Find the exact value of sin A-b.\r<BR>\n" );
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document.write( "Show steps, please. I know I'm supposed to use the cos and tan to get sin for the formula, and I got 9/5, but I have no idea what I'm supposed to do next or what to do with it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721042 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A-B%29+=+sinAcosB-cosAsinB ALIGN=MIDDLE  ALT=\"sin%28A-B%29+=+sinAcosB-cosAsinB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You are given that cosA is 24/25 and tanB is 15/8.  You can use those pieces of information to find the values of sinA, sinB, and cosB; then you will have all the pieces you need to evaluate sin(A-B).<br><BR>\n" );
document.write( "cosA=24/25 means you have a right triangle with one leg 24 and hypotenuse 25; the Pythagorean Theorem tells you the other leg is 7.  So now you can find the value of sinA.<br><BR>\n" );
document.write( "tanB=15/8 tells you you have a right triangle with legs 15 and 8; the Pythagorean Theorem tells you the hypotenuse is 17.   So now you can find the values of sinB and cosB.<br><BR>\n" );
document.write( "Use your basic definitions of the basic trig functions to finish the problem.... </SPAN>\n" );
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