document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986631>Question 986631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose sin t = <BR>\n" );
document.write( "4<BR>\n" );
document.write( "7<BR>\n" );
document.write( " and cos t < 0. Find each of the following (exact values): \r<BR>\n" );
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document.write( "cos t =   <BR>\n" );
document.write( "tan t =   <BR>\n" );
document.write( "csc t =   <BR>\n" );
document.write( "sec t =   <BR>\n" );
document.write( "cot t =\r<BR>\n" );
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document.write( "Please explain\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 #607430 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=607430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose sin t = (4/7)<BR>\n" );
document.write( "and cos t < 0. Find each of the following (exact values):<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Those conditions imply that \"t\" is in the 2nd Quadrant<BR>\n" );
document.write( "where y is positive and x is negative.<BR>\n" );
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document.write( "By defition, sin = y/r<BR>\n" );
document.write( "Since sin = 4/7, y = 4 and r = 7<BR>\n" );
document.write( "Solve for \"x\" (which is negative)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = =sqrt[7^2-4^2] = -sqrt(49-16) = -sqrt(33)<BR>\n" );
document.write( "----\r<BR>\n" );
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document.write( "cos t = x/r = -sqrt(33)/7<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "tan t = y/x = -4/sqrt(33)<BR>\n" );
document.write( "---------- <BR>\n" );
document.write( "csc t = r/y = 7/4<BR>\n" );
document.write( "----------- <BR>\n" );
document.write( "sec t = r/x = -7/sqrt(33)<BR>\n" );
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document.write( "cot t = x/y = -sqrt(33)/4<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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