document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195997>Question 1195997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> cos(2\alpha +(\pi )/(4))=3tan(2\alpha +(\pi )/(4)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828652 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=828652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Note your post contains no question....<br><BR>\n" );
document.write( "No matter how obvious it is what your question is, the polite thing to do in your post is ask the question.<br><BR>\n" );
document.write( "(2) There is no standard use of the \"\\" symbol, so I don't know what to make of \"(2\alpha +(\pi )/(4))\"....<br><BR>\n" );
document.write( "But the equation is of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=3tan%28x%29 ALIGN=MIDDLE  ALT=\"cos%28x%29=3tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which can be solved for x:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=3tan%28x%29 ALIGN=MIDDLE  ALT=\"cos%28x%29=3tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=%283sin%28x%29%29%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"cos%28x%29=%283sin%28x%29%29%2Fcos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28x%29%29%5E2=3sin%28x%29 ALIGN=MIDDLE  ALT=\"%28cos%28x%29%29%5E2=3sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-%28sin%28x%29%29%5E2=3sin%28x%29 ALIGN=MIDDLE  ALT=\"1-%28sin%28x%29%29%5E2=3sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28x%29%29%5E2%2B3sin%28x%29-1=0 ALIGN=MIDDLE  ALT=\"%28sin%28x%29%29%5E2%2B3sin%28x%29-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That does not factor over the integers, so use the quadratic formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=%28-3%2Bsqrt%2813%29%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28x%29=%28-3%2Bsqrt%2813%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The other root produces an invalid value for sin(x), so it can be ignored.<br><BR>\n" );
document.write( "But, since I have no idea what your post means, I don't know if that is of any help to you....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );