document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925282>Question 925282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose cos(t)=-1/3 and sin(t)<0 Use appropriate identities to find each of the following?<BR>\n" );
document.write( "sec(-t) \r<BR>\n" );
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document.write( "sin(-t) \r<BR>\n" );
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document.write( "cos(t+5&#960;/3) \r<BR>\n" );
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document.write( "sin(2t) \r<BR>\n" );
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document.write( "I can find sin <BR>\n" );
document.write( "sin^2t = 1-cos^2t <BR>\n" );
document.write( "sin^2t = 1-(1/9) <BR>\n" );
document.write( "sin^2t=8/9 <BR>\n" );
document.write( "sin^2t= -(2&#8730;2)/3 \r<BR>\n" );
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document.write( "Please give details I have to understand <BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561591 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are right in that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28t%29=8%2F9 ALIGN=MIDDLE  ALT=\"sin%5E2%28t%29=8%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%29=+-2sqrt%282%29%2F3 ALIGN=MIDDLE  ALT=\"sin%28t%29=+-2sqrt%282%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%29%3C0 ALIGN=MIDDLE  ALT=\"sin%28t%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the problem says)<BR>\n" );
document.write( " <BR>\n" );
document.write( "For any <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-t%29=-sin%28t%29 ALIGN=MIDDLE  ALT=\"sin%28-t%29=-sin%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sin%28-t%29=2sqrt%282%29%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28sin%28-t%29=2sqrt%282%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Using trigonometric identity formulas,<BR>\n" );
document.write( "you can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%2B5pi%2F3%29 ALIGN=MIDDLE  ALT=\"cos%28t%2B5pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282t%29 ALIGN=MIDDLE  ALT=\"sin%282t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( " <BR>\n" );
document.write( "One of the most popular trigonometric identities is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%2BB%29=cos%28A%29%2Acos%28B%29-sin%28A%29%2Asin%28B%29 ALIGN=MIDDLE  ALT=\"cos%28A%2BB%29=cos%28A%29%2Acos%28B%29-sin%28A%29%2Asin%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%2B5pi%2F3%29=cos%28t%29%2Acos%285pi%2F3%29-sin%28t%29%2Asin%285pi%2F3%29 ALIGN=MIDDLE  ALT=\"cos%28t%2B5pi%2F3%29=cos%28t%29%2Acos%285pi%2F3%29-sin%28t%29%2Asin%285pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%285pi%2F3%29=cos%285pi%2F3-2pi%29=cos%28-pi%2F3%29=cos%28pi%2F3%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%285pi%2F3%29=cos%285pi%2F3-2pi%29=cos%28-pi%2F3%29=cos%28pi%2F3%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%285pi%2F3%29=sin%285pi%2F3-2pi%29=sin%28-pi%2F3%29=-sin%28pi%2F3%29=-sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%285pi%2F3%29=sin%285pi%2F3-2pi%29=sin%28-pi%2F3%29=-sin%28pi%2F3%29=-sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%2B5pi%2F3%29+=%28-1%2F3%29%2A%281%2F2%29-%28-2sqrt%282%29%2F3%29%2A%28-sqrt%283%29%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%2B5pi%2F3%29+=-1%2F6-%282sqrt%282%29sqrt%283%29%2F%282%2A3%29%29 ALIGN=MIDDLE  ALT=\"cos%28t%2B5pi%2F3%29+=-1%2F6-%282sqrt%282%29sqrt%283%29%2F%282%2A3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cos%28t%2B5pi%2F3%29+=-1%2F6-sqrt%286%29%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28cos%28t%2B5pi%2F3%29+=-1%2F6-sqrt%286%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "An other popular trigonometric identity is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282A%29=2sin%28A%29cos%28A%29 ALIGN=MIDDLE  ALT=\"sin%282A%29=2sin%28A%29cos%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282t%29=2sin%28t%29cos%28t%29 ALIGN=MIDDLE  ALT=\"sin%282t%29=2sin%28t%29cos%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282t%29=2%28-2sqrt%282%29%2F3%29%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"sin%282t%29=2%28-2sqrt%282%29%2F3%29%28-1%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=highlight%28sin%282t%29=4sqrt%282%29%2F9%29 ALIGN=MIDDLE  ALT=\"highlight%28sin%282t%29=4sqrt%282%29%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );