document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122762>Question 1122762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that sin2A=1/3 and 2A is in Quadrant 2, what is the exact value of tanA? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738954 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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/cgi-bin/show-face.mpl?user=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282A%29+=+1%2F3 ALIGN=MIDDLE  ALT=\"sin%282A%29+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 2A in Q2 gives  the following picture, where we can solve for the x value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%288%29 ALIGN=MIDDLE  ALT=\"-sqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-4%2C4%2C+-4%2C4%2C+grid%280%29%2C%0D%0A++++++++++++++++line%280%2C0%2C+-2.828%2C1%29%2C%0D%0A++++++++++++++++line%28-2.828%2C0%2C+-2.828%2C1%29%2C%0D%0A+++++++++++++++blue%28locate%28-3.3%2C0.7%2C%221%22%29%29%2C%0D%0A+++++++++++++++blue%28locate%28-1.7%2C-0.3%2C-sqrt%288%29%29%29%2C%0D%0A+++++++++++++++blue%28locate%28-1.6%2C+1.0+%2C%223%22%29%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now, you can use  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28alpha+%2B+beta%29+=+%28tan%28alpha%29%2Btan%28beta%29%29%2F+%281-tan%28alpha%29tan%28beta%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+=+beta+ ALIGN=MIDDLE  ALT=\"alpha+=+beta+\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%282A%29+=+-1%2F%28sqrt%288%29%29+=+2tan%28A%29+%2F+%281-tan%5E2%28A%29%29+ ALIGN=MIDDLE  ALT=\"+tan%282A%29+=+-1%2F%28sqrt%288%29%29+=+2tan%28A%29+%2F+%281-tan%5E2%28A%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which eventually (let u = tan(A),  complete the square) resolves to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+tan%28A%29+=+3+%2B+2sqrt%282%29%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+tan%28A%29+=+3+%2B+2sqrt%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   in Q1 \r<BR>\n" );
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document.write( " </SPAN>\n" );
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