document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476635>Question 476635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all t in the interval [0, 2&#960;] satisfying sin x &#8722; cos x = 1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326818 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=326818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all t in the interval [0, 2&#960;] satisfying sin x &#8722; cos x = 1.<BR>\n" );
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document.write( "Square both sides to get:<BR>\n" );
document.write( "sin^2 - 2sin*cos + cos^2 = 1<BR>\n" );
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document.write( "Since sin^2+cos^2 = 1 you get:<BR>\n" );
document.write( "-2sin*cos = 0<BR>\n" );
document.write( "sin*cos = 0<BR>\n" );
document.write( "Either sin(x) or cos(x) = 0<BR>\n" );
document.write( "sin(x) = 0 when x = 0 or pi or 2pi<BR>\n" );
document.write( "cos(x) = 0 when x = pi/2 or (3/2)pi<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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