document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000322>Question 1000322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of tangent of 2 theta given sine of theta = 3 over 5 and theta is between 0 and pi over 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617814 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=617814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of tangent of 2 theta given sine of theta = 3 over 5 and theta is between 0 and pi over 2. <BR>\n" );
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document.write( "Note:: x and y are both positive in QI<BR>\n" );
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document.write( "By definition, sin = y/r<BR>\n" );
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document.write( "Since sin = 3/5, y = 3 and r = 5<BR>\n" );
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document.write( "Then x = sqrt[5^2-3^2] = 4<BR>\n" );
document.write( "So, tan(t) = y/x = 3/4<BR>\n" );
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document.write( "Note:: tan(2t) = (2*tan(t))/(1-tan^2(t))<BR>\n" );
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document.write( "Ans: [2(3/4)]/[1-(3/4)^2] = (3/2)/[1-9/16] = (3/2)*(16/7) = 24/7 = 3 3/7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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