document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80220>Question 80220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If csc theta=-5/4 and theta is in quadrant 3,then cos theta= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57561 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=57561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If csc theta=-5/4 and theta is in quadrant 3,then cos theta=?<BR>\n" );
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document.write( "Draw the picture of theta in the 3rd quadrant.<BR>\n" );
document.write( "csc(theta)=r/y<BR>\n" );
document.write( "The terminal side passes thru the point (x,-4) and r=5.<BR>\n" );
document.write( "Find x where x^2+y^2=r^2<BR>\n" );
document.write( "x^2=5^2-4^2=9<BR>\n" );
document.write( "x=-3 in the 3rd Quadrant<BR>\n" );
document.write( "Therefore cos(theta)= x/r=-3/5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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