document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187016>Question 1187016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Apply a formula to find the exact value of the expression. Make sure to <BR>\n" );
document.write( "write down the formula first. Do not use a calculator. Simplify your answer <BR>\n" );
document.write( "completely. \r<BR>\n" );
document.write( "\n" );
document.write( "  sin15° \r<BR>\n" );
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document.write( "2. Apply a formula to find the exact value of the expression. Make sure to <BR>\n" );
document.write( "write down the formula first. Do not use a calculator. Simplify your answer <BR>\n" );
document.write( "completely. \r<BR>\n" );
document.write( "\n" );
document.write( "  cos11𝜋/12\r<BR>\n" );
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document.write( "Hello! For these two questions, I need help all the way through. I'm very stuck on what to do. Thank you!  <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817961 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Apply a formula to find the exact value of the expression. Make sure to <BR>\n" );
document.write( "write down the formula first. Do not use a calculator. Simplify your answer <BR>\n" );
document.write( "completely. \r<BR>\n" );
document.write( "\n" );
document.write( "  sin15° <BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "sin(15) = sin(30/2)sqrt<BR>\n" );
document.write( "From \"Half angle formulas\" on Wikipedia:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%2830%2F2%29+=+%281-cos%2830%29%29%2F2 ALIGN=MIDDLE  ALT=\"sin%5E2%2830%2F2%29+=+%281-cos%2830%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "See Wikipedia Trigonometric functions to check your answer.<BR>\n" );
document.write( "It's quite tedious and easy to make an error.<BR>\n" );
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document.write( "cos(11𝜋/12) = cos(165)<BR>\n" );
document.write( "= cos(120 + 45)<BR>\n" );
document.write( "= cos(120)*cos(45) - sin(120)*sin(45)<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.5%2Asqrt%282%29%2F2+-+%28sqrt%283%29%2F2%29%2Asqrt%282%2F2%29 ALIGN=MIDDLE  ALT=\"-0.5%2Asqrt%282%29%2F2+-+%28sqrt%283%29%2F2%29%2Asqrt%282%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%282%29%2F4+-+sqrt%286%29%2F4 ALIGN=MIDDLE  ALT=\"-sqrt%282%29%2F4+-+sqrt%286%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28sqrt%282%29+%2B+sqrt%286%29%29%2F4 ALIGN=MIDDLE  ALT=\"-%28sqrt%282%29+%2B+sqrt%286%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );