document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836438>Question 836438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been ill and have missed several weeks of school. I am trying to catch up now that I am home from the hospital via email. My pre-cal/trig teacher sent me several homework assignments, but I am so behind that I do not now how to do these problems. Can you help with this one and maybe I can use it as an example? I can use a calculator on these problems. \r<BR>\n" );
document.write( "\n" );
document.write( "The problem:  tan{arc tan 1/2 + arc tan 1/3]\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so much!\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504181 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=504181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do you know what tan and arc tan mean ?<BR>\n" );
document.write( "If not, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28a%29+ ALIGN=MIDDLE  ALT=\"+tan%28a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the side opposite angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divided by the side adjacent to angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Of course, You are always talking about a right triangle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+arc+tan%28b%29+ ALIGN=MIDDLE  ALT=\"+arc+tan%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > means \" the angle whose tan is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a number here, not an angle<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+arc+tan%28+1%2F2+%29+%2B+arc+tan%28+1%2F3+%29+%29+ ALIGN=MIDDLE  ALT=\"+tan%28+arc+tan%28+1%2F2+%29+%2B+arc+tan%28+1%2F3+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Work inside the parentheses one term at a time.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+arc+tan%28+1%2F2+%29+ ALIGN=MIDDLE  ALT=\"+arc+tan%28+1%2F2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "On my Casio fx-115 ES, I press [ SHIFT-tan- 1/2 = ]<BR>\n" );
document.write( "That gives me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26.565+ ALIGN=MIDDLE  ALT=\"+26.565+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the angle whose<BR>\n" );
document.write( "tan is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Next I press [ SHIFT-tan-1/3 = ] <BR>\n" );
document.write( "That give me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18.435+ ALIGN=MIDDLE  ALT=\"+18.435+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the angle whose<BR>\n" );
document.write( "tan is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Now add the angles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26.565+%2B+18.435+=+45+ ALIGN=MIDDLE  ALT=\"+26.565+%2B+18.435+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At this point, you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+arc+tan%28+1%2F2+%29+%2B+arc+tan%28+1%2F3+%29+%29+=+tan%28+26.565+%2B+18.435+%29+ ALIGN=MIDDLE  ALT=\"+tan%28+arc+tan%28+1%2F2+%29+%2B+arc+tan%28+1%2F3+%29+%29+=+tan%28+26.565+%2B+18.435+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+26.565+%2B+18.435+%29+=+tan%28+45+%29+ ALIGN=MIDDLE  ALT=\"+tan%28+26.565+%2B+18.435+%29+=+tan%28+45+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is tan of the angle 45 degrees<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Now press [ tan-45 = ]<BR>\n" );
document.write( "That should give you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the answer. <BR>\n" );
document.write( "It is a number, not an angle<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Note that your calculator has to be set up for angles<BR>\n" );
document.write( "and not radians in order to follow this.<BR>\n" );
document.write( "Your calculator shouldn't be much different<BR>\n" );
document.write( "Hope this helps<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );