document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919804>Question 919804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of the trigonometric functions of t from the given information.\r<BR>\n" );
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document.write( "sec t = 2, sin 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( "csc t	 = 	 <BR>\n" );
document.write( "cot t	 =\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557980 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=557980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the values of the trigonometric functions of t from the given information. <BR>\n" );
document.write( "sec t = 2, sin t < 0 <BR>\n" );
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document.write( "sec positive and sin negative means t is in QIV where x is pos and y is neg<BR>\n" );
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document.write( "By definition sec = r/x<BR>\n" );
document.write( "Since sec = 2, r = 2 and x = 1<BR>\n" );
document.write( "Then y = -sqrt[2^2-1] = -sqrt(3)<BR>\n" );
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document.write( "sin = y/r = -sqrt(3)/2<BR>\n" );
document.write( "cos = x/r = 1/2<BR>\n" );
document.write( "tan = y/x = -sqrt(3)/1 = -sqrt(3)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "csc = -2/sqrt(3)<BR>\n" );
document.write( "sec = 2<BR>\n" );
document.write( "cot = -1/sqrt(3)<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------------- </SPAN>\n" );
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