document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328059>Question 328059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all t in the interval [0,2pi] satisfying sin x - cos x = 1. I do not know where to start with this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235018 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the trig identitites along with your equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29-cos%28x%29=1 ALIGN=MIDDLE  ALT=\"sin%28x%29-cos%28x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=cos%28x%29%2B1 ALIGN=MIDDLE  ALT=\"sin%28x%29=cos%28x%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29=%28cos%28x%29%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29=%28cos%28x%29%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-cos%5E2%28x%29=cos%5E2%28x%29%2B2cos%28x%29%2B1 ALIGN=MIDDLE  ALT=\"1-cos%5E2%28x%29=cos%5E2%28x%29%2B2cos%28x%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%5E2%28x%29%2B2cos%28x%29=0 ALIGN=MIDDLE  ALT=\"2cos%5E2%28x%29%2B2cos%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29%28cos%28x%29%2B1%29=0 ALIGN=MIDDLE  ALT=\"cos%28x%29%28cos%28x%29%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions from the zero product property:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=0 ALIGN=MIDDLE  ALT=\"cos%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=pi%2F2 ALIGN=MIDDLE  ALT=\"x=pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283pi%29%2F2 ALIGN=MIDDLE  ALT=\"x=%283pi%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29%2B1=0 ALIGN=MIDDLE  ALT=\"cos%28x%29%2B1=0\"   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=-1 ALIGN=MIDDLE  ALT=\"cos%28x%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=pi ALIGN=MIDDLE  ALT=\"x=pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Verify the solutions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29-cos%28x%29=1 ALIGN=MIDDLE  ALT=\"sin%28x%29-cos%28x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%29-cos%28pi%29=1 ALIGN=MIDDLE  ALT=\"sin%28pi%29-cos%28pi%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-%28-1%29=1 ALIGN=MIDDLE  ALT=\"0-%28-1%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=1 ALIGN=MIDDLE  ALT=\"1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=pi ALIGN=MIDDLE  ALT=\"x=pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a valid solution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29-cos%28x%29=1 ALIGN=MIDDLE  ALT=\"sin%28x%29-cos%28x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%2F2%29-cos%28pi%2F2%29=1 ALIGN=MIDDLE  ALT=\"sin%28pi%2F2%29-cos%28pi%2F2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0=1 ALIGN=MIDDLE  ALT=\"1-0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=1 ALIGN=MIDDLE  ALT=\"1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=pi%2F2 ALIGN=MIDDLE  ALT=\"x=pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a valid solution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29-cos%28x%29=1 ALIGN=MIDDLE  ALT=\"sin%28x%29-cos%28x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28%283pi%29%2F2%29-cos%28%283pi%29%2F2%29=1 ALIGN=MIDDLE  ALT=\"sin%28%283pi%29%2F2%29-cos%28%283pi%29%2F2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-0=1 ALIGN=MIDDLE  ALT=\"-1-0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=1 ALIGN=MIDDLE  ALT=\"-1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283pi%29%2F2 ALIGN=MIDDLE  ALT=\"x=%283pi%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a valid solution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Two solution: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=pi%2F2 ALIGN=MIDDLE  ALT=\"x=pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=pi ALIGN=MIDDLE  ALT=\"x=pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C4%2C-2%2C2%2Ccircle%28pi%2C0%2C.1%29%2Ccircle%281.57%2C0%2C.1%29%2Ccircle%28pi%2F2%2C0%2C.1%29%2Ccircle%28pi%2C1%2C.1%29%2Cblue%28line%28pi%2C0%2Cpi%2C1%29%29%2Cblue%28line%28pi%2F2%2C0%2Cpi%2F2%2C1%29%29%2Ccircle%28pi%2F2%2C1%2C.1%29%2Ccircle%28pi%2C1%2C.1%29%2Cgrid%281%29%2Cgraph%28300%2C300%2C-1%2C4%2C-2%2C2%2Csin%28x%29-cos%28x%29%2C+1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );