document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077833>Question 1077833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sec(5&#960;/3)*tan(5&#960;/4)-cot(2&#960;/3)*sin(-&#960;/3)<BR>\n" );
document.write( "Evaluate each expression and simplyfy.<BR>\n" );
document.write( "Can someone please help me? Thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692363 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Think of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2Api%2F3+ ALIGN=MIDDLE  ALT=\"+5%2Api%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2Api%2F3+-+pi%2F3+ ALIGN=MIDDLE  ALT=\"+6%2Api%2F3+-+pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Api+-+pi%2F3+ ALIGN=MIDDLE  ALT=\"+2%2Api+-+pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This makes a negative 60 degree angle with<BR>\n" );
document.write( "the 0 degree vector, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sec%28+5%2Api%2F3+%29+=+1%2Fcos%28+-pi%2F3+%29+ ALIGN=MIDDLE  ALT=\"+sec%28+5%2Api%2F3+%29+=+1%2Fcos%28+-pi%2F3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fcos%28+-pi%2F3+%29+=+2+ ALIGN=MIDDLE  ALT=\"+1%2Fcos%28+-pi%2F3+%29+=+2+\"   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=+tan%28+5%2Api%2F4+%29+=+tan%28+4%2Api%2F4+%2B+pi%2F4+%29+ ALIGN=MIDDLE  ALT=\"+tan%28+5%2Api%2F4+%29+=+tan%28+4%2Api%2F4+%2B+pi%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a tangent in the 3rd quadrant which<BR>\n" );
document.write( "is (-)/(-) and is positive<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+5%2Api%2F4+%29+=+1+ ALIGN=MIDDLE  ALT=\"+tan%28+5%2Api%2F4+%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=+cot%28+2%2Api%2F3+%29+=+cot%28+3%2Api%2F3+-+pi%2F3+%29+ ALIGN=MIDDLE  ALT=\"+cot%28+2%2Api%2F3+%29+=+cot%28+3%2Api%2F3+-+pi%2F3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a cotangent in the 2nd quadrant<BR>\n" );
document.write( "which is negative<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cot%28+2%2Api%2F3+%29+=+-1%2Fsqrt%283%29+ ALIGN=MIDDLE  ALT=\"+cot%28+2%2Api%2F3+%29+=+-1%2Fsqrt%283%29+\"   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%28+-pi%2F3+%29+ ALIGN=MIDDLE  ALT=\"+sin%28+-pi%2F3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a sine function  in the 4th quadrant <BR>\n" );
document.write( "which is negative.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28+-pi%2F3+%29+=+-sqrt%283%29%2F2+ ALIGN=MIDDLE  ALT=\"+sin%28+-pi%2F3+%29+=+-sqrt%283%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Putting it all together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A1+-+%28+-1%2Fsqrt%283%29+%29%2A%28+-sqrt%283%29%2F2+%29+ ALIGN=MIDDLE  ALT=\"+2%2A1+-+%28+-1%2Fsqrt%283%29+%29%2A%28+-sqrt%283%29%2F2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+-+1%2F2+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+2+-+1%2F2+=+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Check the math. I just used trig functions of <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F3+ ALIGN=MIDDLE  ALT=\"+pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in different quadrants<BR>\n" );
document.write( "and also a function of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F4+ ALIGN=MIDDLE  ALT=\"+pi%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the 3rd quadrant </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );