document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959057>Question 959057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sin(x)=8/17 and pi/2 less than x less than pi. 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 #586156 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=586156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(x)=8/17 and pi/2 less than x less than pi.<BR>\n" );
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document.write( "x is in QII where x is cos(x) is negative.<BR>\n" );
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document.write( "cos(x) = -sqrt[17^2-8^2]/17 = -15/17<BR>\n" );
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document.write( "tan(x) = sin(x)/cos(x) = (8/17)/(-15/17) = -8/15<BR>\n" );
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document.write( "Find the exact value of tan(2x)<BR>\n" );
document.write( "tan(2x) = [2tan(x)]/[1-tan^2(x)] = [2(-8/15)]/[1-(64/225)]<BR>\n" );
document.write( "= (-16/15)/[(225-64)/225]<BR>\n" );
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document.write( "= (-16/15)/(161/225)<BR>\n" );
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document.write( "= (-16*15)/161 = -1.49<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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