document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687087>Question 687087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> verify that the equations are identitites:<BR>\n" );
document.write( "sinx + tanx = tanx (1+cosx)<BR>\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 #425020 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=425020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> verify that the equations are identitites:<BR>\n" );
document.write( "sinx + tanx = tanx (1+cosx)\r<BR>\n" );
document.write( "\n" );
document.write( "There is a trig identity you have to know to prove this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28tan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28tan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The rule of thumb is to try to use identities and properties in math to make the more complicated side look like the less complicated side....so attack the right side of the equation.<BR>\n" );
document.write( "use the identity to replace tan(x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2Btan%28x%29=highlight%28%28sin%28x%29%29%2F%28cos%28x%29%29%29%281%2Bcos%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2Btan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29%2B%28sin%28x%29cos%28x%29%29%2F%28cos%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The cos(x) cancels<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2Btan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29%2Bsin%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%29%2Btan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29%2Bsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then use the identity again only we are replacing sin(x)/cos(x).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2Btan%28x%29=highlight%28tan%28x%29%29%2Bsin%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%29%2Btan%28x%29=highlight%28tan%28x%29%29%2Bsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Addition is commutative, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2Btan%28x%29=sin%28x%29%2Btan%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%29%2Btan%28x%29=sin%28x%29%2Btan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );