document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812209>Question 812209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the following information to determine sin (2x)\r<BR>\n" );
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document.write( "tan(x) = 3 and sin (x) is positive\r<BR>\n" );
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document.write( "sin(2x) =? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489050 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=489050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the following information to determine sin (2x)<BR>\n" );
document.write( "tan(x) = 3 and sin (x) is positive <BR>\n" );
document.write( "***<BR>\n" );
document.write( "reference angle is in quadrant I<BR>\n" );
document.write( "hypotenuse of reference right triangle=&#8730;(1^2+3^2)=&#8730;10<BR>\n" );
document.write( "sinx=1/&#8730;10=&#8730;10/10<BR>\n" );
document.write( "cosx=3/&#8730;10=3&#8730;10/10<BR>\n" );
document.write( "sin 2x=2sinxcosx=2*&#8730;10/10*3&#8730;10/10=6*10/100=0.6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Check: (w/calculator)<BR>\n" );
document.write( "tanx=3<BR>\n" );
document.write( "x&#8776;71.565&#730;<BR>\n" );
document.write( "2x&#8776;143.1301<BR>\n" );
document.write( "sin2x&#8776;sin(143.1301&#730;)&#8776;0.6000..<BR>\n" );
document.write( "Exact value as determined=0.6000 </SPAN>\n" );
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