document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148768>Question 148768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value. (We are suppost to be using the trig addition and subtraction formulas to find a solution)  For the first problem I got the answer -(&#8730;2)/2 and I got totally lost on the second problem.  I'm not sure if my answer was correct.  Help would be greatly appeciated.  Thanks\r<BR>\n" );
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document.write( "1) sin(11pi/12) (use 11pi/12=2pi/3+pi/4)\r<BR>\n" );
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document.write( "2) tan(7pi/12) (use 7pi/12=3pi/4-pi/6)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109110 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=109110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2811pi%2F12%29 ALIGN=MIDDLE  ALT=\"sin%2811pi%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282pi%2F3%2Bpi%2F4%29 ALIGN=MIDDLE  ALT=\"sin%282pi%2F3%2Bpi%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >... Break up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11pi%2F12 ALIGN=MIDDLE  ALT=\"11pi%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2F3%2Bpi%2F4 ALIGN=MIDDLE  ALT=\"2pi%2F3%2Bpi%2F4\"   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=sin%282pi%2F3%29cos%28pi%2F4%29%2Bcos%282pi%2F3%29sin%28pi%2F4%29 ALIGN=MIDDLE  ALT=\"sin%282pi%2F3%29cos%28pi%2F4%29%2Bcos%282pi%2F3%29sin%28pi%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... Use the \"Sum-Difference\" identities to rewrite the expression. Here's a good list of trig identities: <a  rel=nofollow HREF=http://www.sosmath.com/trig/Trig5/trig5/trig5.html>http://www.sosmath.com/trig/Trig5/trig5/trig5.html</a>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29%2B%28-1%2F2%29%28sqrt%282%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29%2B%28-1%2F2%29%28sqrt%282%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2F3 ALIGN=MIDDLE  ALT=\"2pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Take the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Take the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2F3 ALIGN=MIDDLE  ALT=\"2pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Finally, take the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If you aren't familiar with these values, use the unit circle.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%2F4-sqrt%282%29%2F4 ALIGN=MIDDLE  ALT=\"sqrt%286%29%2F4-sqrt%282%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29-sqrt%282%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29-sqrt%282%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2811pi%2F12%29=%28sqrt%286%29-sqrt%282%29%29%2F4 ALIGN=MIDDLE  ALT=\"sin%2811pi%2F12%29=%28sqrt%286%29-sqrt%282%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "note: you can use a calculator to check your work. </SPAN>\n" );
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