document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366648>Question 366648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find each exact value of cos(x-y) if cos(x)=(5)/(12) and cos(y)=(11)/(12). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261289 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=261289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=5%2F12 ALIGN=MIDDLE  ALT=\"cos%28x%29=5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=sqrt%281-cos%5E2%28x%29%29=sqrt%281-%285%2F12%29%5E2%29=sqrt%28119%2F144%29=sqrt%28119%29%2F12 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28y%29=11%2F12 ALIGN=MIDDLE  ALT=\"cos%28y%29=11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28y%29=sqrt%281-cos%5E2%28y%29%29=sqrt%281-%2811%2F12%29%5E2%29=sqrt%2823%2F144%29=sqrt%2823%29%2F12 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x-y%29=cos%28x%29cos%28y%29%2Bsin%28x%29sin%28y%29 ALIGN=MIDDLE  ALT=\"cos%28x-y%29=cos%28x%29cos%28y%29%2Bsin%28x%29sin%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x-y%29=cos%28x%29cos%28y%29%2Bsin%28x%29sin%28y%29=%285%2F12%29%2811%2F12%29%2B%28sqrt%28119%29%2F12%29%28sqrt%2823%29%2F12%29=55%2F144%2Bsqrt%282737%29%2F144=%2855%2Bsqrt%282737%29%29%2F144 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x-y%29=%2855%2Bsqrt%282737%29%29%2F144 ALIGN=MIDDLE  ALT=\"cos%28x-y%29=%2855%2Bsqrt%282737%29%29%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=5%2F12 ALIGN=MIDDLE  ALT=\"cos%28x%29=5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28y%29=11%2F12 ALIGN=MIDDLE  ALT=\"cos%28y%29=11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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