document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196593>Question 196593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using tanx=sinx/cosx, prove the addition formula for tangent, tan(A+B)=(tanA+tanB)/(1-tanAxtanB).<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 #147341 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=147341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29=sin%28x%29%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"tan%28x%29=sin%28x%29%2Fcos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can say \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29=sin%28A%2BB%29%2Fcos%28A%2BB%29 ALIGN=MIDDLE  ALT=\"tan%28A%2BB%29=sin%28A%2BB%29%2Fcos%28A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29=%28sin%28A%29cos%28B%29%2Bcos%28A%29sin%28B%29%29%2Fcos%28A%2BB%29 ALIGN=MIDDLE  ALT=\"tan%28A%2BB%29=%28sin%28A%29cos%28B%29%2Bcos%28A%29sin%28B%29%29%2Fcos%28A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand sine using the sum difference identity\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29=%28sin%28A%29cos%28B%29%2Bcos%28A%29sin%28B%29%29%2F%28cos%28A%29cos%28B%29-sin%28A%29sin%28B%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Expand cosine using the sum difference identity\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29=%28%28sin%28A%29cos%28B%29%29%2Fcos%28A%29%2B%28cos%28A%29sin%28B%29%29%2Fcos%28A%29%29%2F%28%28cos%28A%29cos%28B%29%29%2Fcos%28A%29-%28sin%28A%29sin%28B%29%29%2Fcos%28A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Divide EVERY term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29 ALIGN=MIDDLE  ALT=\"cos%28A%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=tan%28A%2BB%29=%28tan%28A%29cos%28B%29%2Bsin%28B%29%29%2F%28cos%28B%29-tan%28A%29sin%28B%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29=%28%28tan%28A%29cos%28B%29%29%2Fcos%28B%29%2Bsin%28B%29%2Fcos%28B%29%29%2F%28cos%28B%29%2Fcos%28B%29-%28tan%28A%29sin%28B%29%29%2Fcos%28B%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Divide EVERY term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28B%29 ALIGN=MIDDLE  ALT=\"cos%28B%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=tan%28A%2BB%29=%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29tan%28B%29%29 ALIGN=MIDDLE  ALT=\"tan%28A%2BB%29=%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29tan%28B%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce and simplify\r<BR>\n" );
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document.write( "So this verifies <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29=%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29tan%28B%29%29 ALIGN=MIDDLE  ALT=\"tan%28A%2BB%29=%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29tan%28B%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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