document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853612>Question 853612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let A be an angle in quadrant 3 with cos A= -(12/13). Let B be an angle in quadrant 1 with sin B=(2/7). Find the exact value of sin(A-B). Your answer should involve a square-root. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514166 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=514166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A be an angle in quadrant 3 with cos A= -(12/13). Let B be an angle in quadrant 1 with sin B=(2/7). Find the exact value of sin(A-B). Your answer should involve a square-root.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "cos(A) = -12/13<BR>\n" );
document.write( "sin(A) = sqrt(13^2-12^2)/13 = 5/13<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "sin(B) = 2/7<BR>\n" );
document.write( "cos(B) = sqrt(7^2-2^2)/7 = sqrt(45)/7<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Ans: sin(A-B) = sin(A)cos(B) - cos(A)sin(B)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "= (5/13)(sqrt(45)/7) - (-12/13)(2/7)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );