document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=889775>Question 889775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of x,x€[0,360],for which the identity is undefined.\r<BR>\n" );
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document.write( "sin^3(x)-cos^3(x)/sin(x)-cos(x)=1+sin(x).cos(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538547 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it appears that the solution will be undefined when sin(x) - cos(x) = 0.<BR>\n" );
document.write( "that occurs when sin(x) = cos(x)<BR>\n" );
document.write( "that will happen in the first quadrant and the third quadrant.<BR>\n" );
document.write( "cosx and sinx are both positive in quadrant 1<BR>\n" );
document.write( "cosx and sinx are both negative in quadrant 3<BR>\n" );
document.write( "sinx is equal to cosx when the angle in quadrant 1 is 45 degrees.<BR>\n" );
document.write( "sinx is equal to cosx when the angle in quadrant 3 is 225 degrees.<BR>\n" );
document.write( "those should be your solutions.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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