document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=849845>Question 849845</A>: <I><SPAN STYLE=\"word-break: break-all;\">  sin(x) = 8/17 and &#960;/2<x<&#960;<BR>\n" );
document.write( " Find the exact value of tan(2x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511809 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=511809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(x) = 8/17 and &#960;/2 Find the exact value of tan(2x)<BR>\n" );
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document.write( "sin = y/r, so y = 8 and r = 17<BR>\n" );
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document.write( "Then x = sqrt[17^2-8^2] = sqrt(225) = 15<BR>\n" );
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document.write( "Therefore tan(x) = y/x = 8/15<BR>\n" );
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document.write( "Note:: You did not post the quadrant for \"x\".<BR>\n" );
document.write( "You may have to adjust the sign of tan(x).<BR>\n" );
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document.write( "tan(2x) = 2tan(x)/[1-tan^2(x)]<BR>\n" );
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document.write( "tan(2x) = 2(8/15)/[1-(8/15)^2] <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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