document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=806478>Question 806478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of cos x if sin x = 5/9 and x is in Quadrant 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485859 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=485859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of cos t if sin t = 5/9 and t is in Quadrant 2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "sin = y/r<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "If sin = 5/9, y = 5 and r = 9<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x = sqrt[9^2-5^2] = sqrt(56)<BR>\n" );
document.write( "But x is negative in QII so x = -sqrt(56)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "cos(t) = x/r = -sqrt(56)/9<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );