document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=811052>Question 811052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sec t =5/4 with C(t) in quadrant 4, determine csc(t+pie). \r<BR>\n" );
document.write( "\n" );
document.write( "Current progress:<BR>\n" );
document.write( "As csc theta = 1/sin theta I created:<BR>\n" );
document.write( "1/(t+pie)\r<BR>\n" );
document.write( "\n" );
document.write( "Using the sine sum identity I came up with:<BR>\n" );
document.write( "1/sin t x cos pie + sin pie x cos t\r<BR>\n" );
document.write( "\n" );
document.write( "Now I am trying to use sec t to get to sin t but I am making little progress.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488635 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=488635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If sec t = 5/4 with C(t) in quadrant 4, determine csc(t+pie).<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Note: In QIV x is positve and y is negative<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Since sec(t) = r/x = 5/4, r = 5 and x = 4<BR>\n" );
document.write( "Then y = sqrt[5^2-4^2] = -3<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Your Problem:<BR>\n" );
document.write( "csc(t+pi) = -csc(t) = -y/r = 3/5<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );