document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118681>Question 118681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help explain how to do this problem to me please?\r<BR>\n" );
document.write( "\n" );
document.write( "FInd the exact values of the trigonometric function given that sinu= -12/13 and cosv= 24/25 (Both u and v are in quadrant IV.)\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86816 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=86816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FInd the exact values of the trigonometric function given that sinu= -12/13<BR>\n" );
document.write( "sinu = y/r = -12/13<BR>\n" );
document.write( "(Both u and v are in quadrant IV.)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "If u is in the 4th quadrant y = -12 and r = 13<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "r^2=x^2+y^2<BR>\n" );
document.write( "x^2 = r^2-y^2<BR>\n" );
document.write( "x^2 = 13^2-(-12)^2<BR>\n" );
document.write( "x^2 = 169 -144 = 25<BR>\n" );
document.write( "x = 5 in the 4th quadrant<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "sinu = -12/13<BR>\n" );
document.write( "cosu = x/r = 5/13<BR>\n" );
document.write( "tanu = y/x = -12/5<BR>\n" );
document.write( "cscu = r/y = -13/12<BR>\n" );
document.write( "secu = r/x = 13/5<BR>\n" );
document.write( "ctnu = x/y = -5/12<BR>\n" );
document.write( "-----------------------\r<BR>\n" );
document.write( "\n" );
document.write( " and cosv= 24/25 <BR>\n" );
document.write( "cosv = x/r=24/25<BR>\n" );
document.write( "y^2 = r^2-x^2 = 25^2-24^2 = 49<BR>\n" );
document.write( "x = 24, y = 7 , r = 25<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "sinv = y/r = 7/25<BR>\n" );
document.write( "cosv = x/r = 25/25<BR>\n" );
document.write( "tanv = y/x = 7/24<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "==========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );