document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176583>Question 1176583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find cos(s + t) given that sin s = - square root of 3/3, with s in quadrant IV, and sin t= -square root of 5/6 with t in quadrant IV. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #803833 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=803833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28s+%2B+t%29+ ALIGN=MIDDLE  ALT=\"+cos%28s+%2B+t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28+s%29+=+-+sqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"sin%28+s%29+=+-+sqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > in quadrant IV\r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28t%29=+-sqrt%28+5%29%2F6 ALIGN=MIDDLE  ALT=\"sin+%28t%29=+-sqrt%28+5%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > in quadrant IV\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28+s%29+=+-+sqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"sin%28+s%29+=+-+sqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp%2Fhyp+=+-+sqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"opp%2Fhyp+=+-+sqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=-+sqrt%283%29 ALIGN=MIDDLE  ALT=\"opp=-+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hyp=3 ALIGN=MIDDLE  ALT=\"hyp=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%283%5E2-%28-+sqrt%283%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%283%5E2-%28-+sqrt%283%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%289-3%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%289-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%286%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28s%29=sqrt%286%29%2F3=sqrt%282%2F3%29 ALIGN=MIDDLE  ALT=\"cos%28s%29=sqrt%286%29%2F3=sqrt%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > in quadrant IV, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28s%29 ALIGN=MIDDLE  ALT=\"cos%28s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28t%29=+-sqrt%28+5%29%2F6 ALIGN=MIDDLE  ALT=\"sin+%28t%29=+-sqrt%28+5%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp%2Fhyp+=+-+sqrt%285%29%2F6 ALIGN=MIDDLE  ALT=\"opp%2Fhyp+=+-+sqrt%285%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=-+sqrt%285%29 ALIGN=MIDDLE  ALT=\"opp=-+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hyp=6 ALIGN=MIDDLE  ALT=\"hyp=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%286%5E2-%28-+sqrt%285%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%286%5E2-%28-+sqrt%285%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%2836-5%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%2836-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%2831%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%2831%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%29=sqrt%2831%29%2F6 ALIGN=MIDDLE  ALT=\"cos%28t%29=sqrt%2831%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > in quadrant IV, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%29 ALIGN=MIDDLE  ALT=\"cos%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28s+%2B+t%29+=cos%28s%29+cos%28t%29+-+sin%28s%29+sin%28t%29 ALIGN=MIDDLE  ALT=\"+cos%28s+%2B+t%29+=cos%28s%29+cos%28t%29+-+sin%28s%29+sin%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28s+%2B+t%29+=sqrt%282%2F3%29%2A%28sqrt%2831%29%2F6%29+-+%28-+sqrt%283%29%2F3%29+%28-sqrt%28+5%29%2F6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28s+%2B+t%29+=sqrt%28186%29%2F18+-+sqrt%2815%29%2F18 ALIGN=MIDDLE  ALT=\"+cos%28s+%2B+t%29+=sqrt%28186%29%2F18+-+sqrt%2815%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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