document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383003>Question 383003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the expression using trig identities. State the identity that you use. \r<BR>\n" );
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document.write( "sin(pi/12)sin(5pi/12)\r<BR>\n" );
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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 #271314 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=271314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate the expression using trig identities. State the identity that you use. \r<BR>\n" );
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document.write( "sin(pi/12)sin(5pi/12) ]\r<BR>\n" );
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document.write( "= sin(15 degrees)(sin(75 degrees)<BR>\n" );
document.write( "= sin(45-30)*sin(45+30)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= [sin45cos30+cos45*sin30]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= [sin45cos30]^2 - [cos45sin30]^2<BR>\n" );
document.write( "=  [(sqrt(2)/2)(sqrt(3)/2)]^2 - [(sqrt(2)/2)(1/2)]^2<BR>\n" );
document.write( "= [(sqrt(6)/4]^2 - [(sqrt(2)/4]^2<BR>\n" );
document.write( "= 6/16 - 2/16<BR>\n" );
document.write( "= 1/4<BR>\n" );
document.write( "=====<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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