document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936036>Question 936036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that tanx=-1/2 and x is in the fourth quadrant, what is the exact value of cosx? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569453 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that tanx=-1/2 and x is in the fourth quadrant, what is the exact value of cosx?<BR>\n" );
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document.write( "tan = y/x = -1/2<BR>\n" );
document.write( "Use the terminal point (2,-1)<BR>\n" );
document.write( "--> r = sqrt(5)<BR>\n" );
document.write( "cos = x/r = 2/sqrt(5)<BR>\n" );
document.write( "cos = 2sqrt(5)/5<BR>\n" );
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