document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768669>Question 768669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If tan &#945; = 9 and &#945; is acute, find the exact value of sin 2&#945;. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468466 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  we use a for alpha...\r<BR>\n" );
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document.write( "tan(a)=sin(a)/cos(a)=9\r<BR>\n" );
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document.write( "and <BR>\n" );
document.write( "tan(a)=9=9/1\r<BR>\n" );
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document.write( "and thus y=9 , x=1, r=sqrt(82)\r<BR>\n" );
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document.write( "so that <BR>\n" );
document.write( "sin 2a = <BR>\n" );
document.write( "2sin(a)*cos(a)=<BR>\n" );
document.write( "2(y/r)(x/r)=<BR>\n" );
document.write( "2(9)(1)/82=9/41 </SPAN>\n" );
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