document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675342>Question 675342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of the trigonometric function given that sin u = 12/13 and cos v = -4/5. (Both u and v are in Quadrant II.)<BR>\n" );
document.write( "cos(u &#8722; v)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419767 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=419767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Both u and v are in Quadrant II<BR>\n" );
document.write( "sin u = 12/13 ,so cos u=sqrt((1-(12/13)^2)=-5/13 <BR>\n" );
document.write( "and cos v = -4/5. so sin v=sqrt((1-(-4/5)^2)=3/5<BR>\n" );
document.write( "so cos(u &#8722; v)=cos u cos v+sin u sin v=-5/13*-4/5+12/13*3/5=(20+36)/65=56/65<BR>\n" );
document.write( "ans </SPAN>\n" );
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