document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737601>Question 737601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a test preparation question but I just am not sure how to solve it or where to start:\r<BR>\n" );
document.write( "\n" );
document.write( "If sin t = 1/3 and pi/2 < t < pi, then determine the exact value of cos t, sin(2pi - t), and cos(2pi - t).\r<BR>\n" );
document.write( "\n" );
document.write( "the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sqrt%282%29%2F3 ALIGN=MIDDLE  ALT=\"-2sqrt%282%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F3 ALIGN=MIDDLE  ALT=\"+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2sqrt%282%29%2F3 ALIGN=MIDDLE  ALT=\"+-2sqrt%282%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450503 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=450503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If sin t = 1/3 and pi/2 < t < pi, then determine the exact value of cos t, sin(2pi - t), and cos(2pi - t).<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let O=opposite side<BR>\n" );
document.write( "let A=adjacent side<BR>\n" );
document.write( "let H=hypotenuse<BR>\n" );
document.write( "...<BR>\n" );
document.write( "sin t=1/3=O/H<BR>\n" );
document.write( "O=1, H=3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%28H%5E2-1%5E2%29=sqrt%289-1%29=-sqrt%288%29 ALIGN=MIDDLE  ALT=\"A=sqrt%28H%5E2-1%5E2%29=sqrt%289-1%29=-sqrt%288%29\"   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%29=A%2FH=-sqrt%288%29%2F3=-2sqrt%282%29%2F3 ALIGN=MIDDLE  ALT=\"cos%28t%29=A%2FH=-sqrt%288%29%2F3=-2sqrt%282%29%2F3\"   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%282pi-t%29=-1%2F3 ALIGN=MIDDLE  ALT=\"sin%282pi-t%29=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Note: this moves the standard position of t from Q2 to Q3 where sin<0, with the same reference angle) You could use the sin addition formula to show this.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282pi-t%29=-2sqrt%282%29%2F3 ALIGN=MIDDLE  ALT=\"cos%282pi-t%29=-2sqrt%282%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(Note: this moves the standard position of t from Q2 to Q3 where cos<0, with the same reference angle) You could use the cos addition formula to show this.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );