document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107920>Question 1107920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of the trigonometric functions of t from the given information.<BR>\n" );
document.write( "csc(t) = 9,  cos(t) < 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722971 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28t%29+=+1%2Fsin%28t%29 ALIGN=MIDDLE  ALT=\"csc%28t%29+=+1%2Fsin%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%29+=+1%2F9 ALIGN=MIDDLE  ALT=\"sin%28t%29+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "sin(t) is positive in quadrants I and II; cos(t) is negative in quadrants II and III.  Since in this problem sin(t) is positive and cos(t) is negative, the angle is in quadrant II.<br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%29+=+-sqrt%281-sin%28t%29%5E2%29+=+-sqrt%281-%281%2F9%29%5E2%29+=+-sqrt%281-1%2F81%29+=+-sqrt%2880%2F81%29+=+-4%2Asqrt%285%29%2F9%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28t%29+=+sin%28t%29%2Fcos%28t%29+=+%281%2F9%29%2F%28-4%2Asqrt%285%29%2F9%29+=+-1%2F%284%2Asqrt%285%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, or, if you need a rational denominator, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%285%29%2F20 ALIGN=MIDDLE  ALT=\"-sqrt%285%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28t%29+=+9 ALIGN=MIDDLE  ALT=\"csc%28t%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > was given<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28t%29+=+1%2Fcos%28t%29+=+-9%2F%284%2Asqrt%285%29%29 ALIGN=MIDDLE  ALT=\"sec%28t%29+=+1%2Fcos%28t%29+=+-9%2F%284%2Asqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-9%2Asqrt%285%29%29%2F20 ALIGN=MIDDLE  ALT=\"%28-9%2Asqrt%285%29%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28t%29+=+1%2Ftan%28t%29+=+-4%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"cot%28t%29+=+1%2Ftan%28t%29+=+-4%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );