document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641820>Question 641820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solutions of the equation in [0, 2pi) sin x + cos x cot x = csc x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403830 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=403830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the solutions of the equation in [0, 2pi) <BR>\n" );
document.write( "sin x + cos x cot x = csc x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "sin(x) + (cos(x))(cos(x)/sin(x)) = 1/sin(x)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Multiply thru by sin(x) to get:<BR>\n" );
document.write( "sin^2(x) + cos^2(x) = 1<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "1 = 1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The equation is true for all values of \"x\".<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Note: pi/6 is just one of an infinite # of answers <BR>\n" );
document.write( "to the problem you posted.<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );