document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176723>Question 1176723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Angles A and B are acute angles such that tanA + tanB + (tanA)(tanB) = 1 . If A-B = 41 degrees, find the measure of angle A.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804171 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A student fairly early in his study of trigonometry should recognize the terms in this equation as those in the formula for tangent of the sum of two angles:<br><BR>\n" );
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%29%2Atan%28B%29%29 ALIGN=MIDDLE  ALT=\"tan%28A%2BB%29+=+%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29%2Atan%28B%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Manipulate the given equation to put it in that form:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29%2Btan%28B%29%2Btan%28A%29%2Atan%28B%29+=+1 ALIGN=MIDDLE  ALT=\"tan%28A%29%2Btan%28B%29%2Btan%28A%29%2Atan%28B%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29%2Btan%28B%29+=+1-tan%28A%29%2Atan%28B%29 ALIGN=MIDDLE  ALT=\"tan%28A%29%2Btan%28B%29+=+1-tan%28A%29%2Atan%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29%2Atan%28B%29%29+=+1 ALIGN=MIDDLE  ALT=\"%28tan%28A%29%2Btan%28B%29%29%2F%281-tan%28A%29%2Atan%28B%29%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%2BB%29+=+1 ALIGN=MIDDLE  ALT=\"tan%28A%2BB%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since the tangent of 45 degrees is 1, this tells us A+B=45.<br><BR>\n" );
document.write( "But that together with the given that A-B=41 allows us to solve that pair of equations to find the measure of angle A.<br><BR>\n" );
document.write( "I leave that last little bit for you....<br><BR>\n" );
document.write( " </SPAN>\n" );
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