document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669543>Question 669543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sin x = 1/2 and x is in the first quadrant, find tan2x\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416432 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=416432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28x+%29=+1%2F2 ALIGN=MIDDLE  ALT=\"sin+%28x+%29=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin+%28x%29=+1 ALIGN=MIDDLE  ALT=\"2sin+%28x%29=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we are looking for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282x%29 ALIGN=MIDDLE  ALT=\"tan%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=%282+cos%28x%29+sin%28x%29%29%2F%28cos%5E2%28x%29-sin%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"tan2x+=%282+cos%28x%29+sin%28x%29%29%2F%28cos%5E2%28x%29-sin%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28x+%29=+1%2F2 ALIGN=MIDDLE  ALT=\"sin+%28x+%29=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282x%29+=%282+cos%28x%29+%281%2F2%29%29%2F%28cos%5E2%28x%29-%281%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"tan%282x%29+=%282+cos%28x%29+%281%2F2%29%29%2F%28cos%5E2%28x%29-%281%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28x%29=1-sin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29=1-sin%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=sqrt%281-sin%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"cos%28x%29=sqrt%281-sin%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=%28cross%282%29+sqrt%281-sin%5E2%28x%29%29+%281%2Fcross%282%29%29%29%2F%281-sin%5E2%28x%29-%281%2F2%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=%28sqrt%281-%281%2F2%29%5E2%29%29%2F%281-%281%2F2%29%5E2-%281%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"tan2x+=%28sqrt%281-%281%2F2%29%5E2%29%29%2F%281-%281%2F2%29%5E2-%281%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=sqrt%281-1%2F4%29%2F%281-1%2F4-1%2F4%29 ALIGN=MIDDLE  ALT=\"tan2x+=sqrt%281-1%2F4%29%2F%281-1%2F4-1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=sqrt%283%2F4%29%2F%281-2%2F4%29 ALIGN=MIDDLE  ALT=\"tan2x+=sqrt%283%2F4%29%2F%281-2%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=%28sqrt%283%29%2F2%29%2F%282%2F4%29 ALIGN=MIDDLE  ALT=\"tan2x+=%28sqrt%283%29%2F2%29%2F%282%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=4sqrt%283%29%2F4 ALIGN=MIDDLE  ALT=\"tan2x+=4sqrt%283%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=cross%284%29sqrt%283%29%2Fcross%284%29 ALIGN=MIDDLE  ALT=\"tan2x+=cross%284%29sqrt%283%29%2Fcross%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=sqrt%283%29 ALIGN=MIDDLE  ALT=\"tan2x+=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x+=1.73 ALIGN=MIDDLE  ALT=\"tan2x+=1.73\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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