document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179610>Question 1179610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of the trigonometric function given that sin u = -3/5 and cos v = -7/25 (Both u and v are in Quadrant III.)<BR>\n" );
document.write( "sin(u+v) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809180 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( " Find the exact value of the trigonometric function given that \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28+u%29+=+-3%2F5 ALIGN=MIDDLE  ALT=\"sin%28+u%29+=+-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28v+%29=+-7%2F25 ALIGN=MIDDLE  ALT=\"cos+%28v+%29=+-7%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " (Both u and v are in Quadrant III.)\r<BR>\n" );
document.write( "\n" );
document.write( "first find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28u%29 ALIGN=MIDDLE  ALT=\"+cos%28u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28+v%29+ ALIGN=MIDDLE  ALT=\"sin%28+v%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28+u%29+=+-3%2F5 ALIGN=MIDDLE  ALT=\"sin%28+u%29+=+-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=3 ALIGN=MIDDLE  ALT=\"opp=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hyp=5 ALIGN=MIDDLE  ALT=\"hyp=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use Pythagorean theorem to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj ALIGN=MIDDLE  ALT=\"adj\"   DISABLED_style= \"max-width:90%; height:auto;\" > side\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%285%5E2-3%5E2%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%285%5E2-3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%2825-9%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%2825-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%2816%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=4 ALIGN=MIDDLE  ALT=\"adj=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=+-4 ALIGN=MIDDLE  ALT=\"adj=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u+ ALIGN=MIDDLE  ALT=\"u+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in Quadrant III, sine and cosine are negative, so use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=-4 ALIGN=MIDDLE  ALT=\"adj=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28u%29=-4%2F5 ALIGN=MIDDLE  ALT=\"+cos%28u%29=-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28v+%29=+-7%2F25 ALIGN=MIDDLE  ALT=\"cos+%28v+%29=+-7%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=7 ALIGN=MIDDLE  ALT=\"adj=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hyp=25 ALIGN=MIDDLE  ALT=\"hyp=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=sqrt%2825%5E2-7%5E2%29 ALIGN=MIDDLE  ALT=\"opp=sqrt%2825%5E2-7%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=sqrt%28576%29 ALIGN=MIDDLE  ALT=\"opp=sqrt%28576%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=24 ALIGN=MIDDLE  ALT=\"opp=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=-24 ALIGN=MIDDLE  ALT=\"opp=-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >...in Quadrant III sine and cosine are negative\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28v%29=-24%2F25 ALIGN=MIDDLE  ALT=\"sin%28v%29=-24%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28+u%29+=+-3%2F5 ALIGN=MIDDLE  ALT=\"sin%28+u%29+=+-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28u%29=-4%2F5 ALIGN=MIDDLE  ALT=\"+cos%28u%29=-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28v%29=-24%2F25 ALIGN=MIDDLE  ALT=\"sin%28v%29=-24%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28v+%29=+-7%2F25 ALIGN=MIDDLE  ALT=\"cos+%28v+%29=+-7%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  then,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28u%2Bv%29+=sin%28u%29+cos%28v%29+%2Bcos%28u%29+sin%28v%29+ ALIGN=MIDDLE  ALT=\"sin%28u%2Bv%29+=sin%28u%29+cos%28v%29+%2Bcos%28u%29+sin%28v%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28u%2Bv%29+=%28-3%2F5%29+%28-7%2F25%29+%2B++%28-4%2F5%29%28-24%2F25%29 ALIGN=MIDDLE  ALT=\"sin%28u%2Bv%29+=%28-3%2F5%29+%28-7%2F25%29+%2B++%28-4%2F5%29%28-24%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28u%2Bv%29+=21%2F125%2B++96%2F125 ALIGN=MIDDLE  ALT=\"sin%28u%2Bv%29+=21%2F125%2B++96%2F125\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28u%2Bv%29+=117%2F125 ALIGN=MIDDLE  ALT=\"sin%28u%2Bv%29+=117%2F125\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );