document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805437>Question 805437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the values of the trigonometric functions of t if P(t) lies in the second quadrant and on the line <BR>\n" );
document.write( "y = &#8722;3x.\r<BR>\n" );
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document.write( "How do I find the values of sin(t), cos(t), tan(t), cot(t), sec(t), and csc(t)?\r<BR>\n" );
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document.write( "Thank you for your help!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485219 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=485219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the values of the trigonometric functions of t if P(t) lies in the second quadrant and on the line <BR>\n" );
document.write( "y = &#8722;3x.<BR>\n" );
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document.write( "slope = -3<BR>\n" );
document.write( "slope = tangent = y/x = -3/1 = 3/-1<BR>\n" );
document.write( "So y = 3 and x = -1<BR>\n" );
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document.write( "Therefore r = sqrt(3^2+1^2) = sqrt(10)<BR>\n" );
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document.write( "How do I find the values of sin(t), cos(t), tan(t), cot(t), sec(t), and csc(t)?<BR>\n" );
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document.write( "sin(t) = y/r = 3/sqrt(10)<BR>\n" );
document.write( "cos(t) = x/r = -1/sqrt(10)<BR>\n" );
document.write( "tan(t) = y/x = -3<BR>\n" );
document.write( "csc(t) = sqrt(10)/3<BR>\n" );
document.write( "sec(t) = -sqrt(10)<BR>\n" );
document.write( "cot(t) = x/y = -1/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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