document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841711>Question 841711</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( "tan t = &#8722;8,  csc t > 0\r<BR>\n" );
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document.write( "sin t =<BR>\n" );
document.write( "cos t=<BR>\n" );
document.write( "tan t=<BR>\n" );
document.write( "sec t=<BR>\n" );
document.write( "csc t=<BR>\n" );
document.write( "cot t= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507162 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=507162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The angle must be located in the 2nd quadrant.  In the second quadrant:  sin and csc are positive, while cos, sec, tan, and cot are negative.<P><BR>\n" );
document.write( "tan(t) = 8.  tan = opp/adj.  Pick any numbers for opp/adj such that the quotient is 8.  Don't worry about the sign of your answers.  The quadrant (2nd) tells you the sign of each of the functions.<P><BR>\n" );
document.write( "tan(t)= 8 = 8/1.  Opposite side is 8, adjacent side is 1.  The hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%5E2+%2B+1%5E2%29+=+sqrt%2865%29 ALIGN=MIDDLE  ALT=\"sqrt%288%5E2+%2B+1%5E2%29+=+sqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><P><BR>\n" );
document.write( "Now you can find all of the requested values.  Remember, only sin and csc are positive:<P><BR>\n" );
document.write( "sin(t) = opp/hyp = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"8%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = approximately .992<P><BR>\n" );
document.write( "csc(t) = 1/(sin(t) = 1/.992 = approximately 1.008<P><BR>\n" );
document.write( "cos(t) = adj/hyp = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = appox. -.124.  Remember, cos is negative in the second quadrant.  Don't worry about the sign, until you complete the calculation.  Then add the sign based on the quadrant.  <BR>\n" );
document.write( "sec(t) = 1/cos(t) = 1/(-.124) = appox. -8.062.<P><BR>\n" );
document.write( "tan(t) is already given:  -8.  cot(t) is 1/tan(t) = -1/8 </SPAN>\n" );
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