document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80735>Question 80735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If theta is an acute angle such thatsin theta=5/13, what is the value of sin 2theta </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57894 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=57894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If theta is an acute angle such that sin(theta)=5/13, what is the value of sin (2theta)<BR>\n" );
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document.write( "If sintheta=5/13, y=5 and r=13; Find x: x^2=r^2-y^2; x=sqrt(13^2-5^2)=12<BR>\n" );
document.write( "Then cos(theta)=12/13<BR>\n" );
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document.write( "sin(2theta)=2sin(theta)cos(theta)<BR>\n" );
document.write( "=2(5/13)(12/13)<BR>\n" );
document.write( "=120/169<BR>\n" );
document.write( "=0.71<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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