document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062390>Question 1062390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello everyone, and Merry Christmas!!<BR>\n" );
document.write( "Can somebody explain me the difference about these two kind of solutions<BR>\n" );
document.write( "starting from following equation:<BR>\n" );
document.write( "sin(x)cos(x) + cos^2(x) = 0<BR>\n" );
document.write( "a) first method dividing by cos^2(x) I become tan(x) + 1 = 0 wich gives me<BR>\n" );
document.write( "     the result:  tan(x) = -1;  x= -PI/4 + nPI;    n€Z<BR>\n" );
document.write( "b) second method dividing by sin^2(x) I become cot(x) + cot^2(x) = 0 wich gives<BR>\n" );
document.write( "   me the two results:  cot(x) = -1;  x= -PI/4 + nPI;    n€Z<BR>\n" );
document.write( "                        cot(x) = 0;   x=  PI/2 + nPI;    n€Z  <BR>\n" );
document.write( "Where am I doing or thinking wrong?  Thank you very much RB<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 #677270 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(x)cos(x) + cos^2(x) = 0<BR>\n" );
document.write( "a) first method dividing by cos^2(x) I become tan(x) + 1 = 0 wich gives me<BR>\n" );
document.write( "     the result:  tan(x) = -1;  x= -PI/4 + nPI;    n€Z<BR>\n" );
document.write( "b) second method dividing by sin^2(x) I become cot(x) + cot^2(x) = 0 wich gives<BR>\n" );
document.write( "   me the two results:  cot(x) = -1;  x= -PI/4 + nPI;    n€Z<BR>\n" );
document.write( "                        cot(x) = 0;   x=  PI/2 + nPI;    n€Z  <BR>\n" );
document.write( "Where am I doing or thinking wrong?  Thank you very much RB<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "sin(x)cos(x) + cos^2(x) = 0<BR>\n" );
document.write( "cos*(sin + cos) = 0<BR>\n" );
document.write( "cos = 0<BR>\n" );
document.write( "x = pi/2 + n*pi, n = any integer<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "sin + cos = 0<BR>\n" );
document.write( "tan + 1 = 0<BR>\n" );
document.write( "tan = -1<BR>\n" );
document.write( "x = 3pi/4, 7pi/4 + n*pi, n = any integer\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );