document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056791>Question 1056791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find sin (2x), cos(2x), and tan(2x) from the given information. <BR>\n" );
document.write( "Write your answer as a fraction.<BR>\n" );
document.write( "tan(x) = -1/3, x in quadrant IV </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671877 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=671877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find sin (2x), cos(2x), and tan(2x) from the given information. <BR>\n" );
document.write( "Write your answer as a fraction.<BR>\n" );
document.write( "tan(x) = -1/3, x in quadrant IV<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "In Q4 a terminal point is (1,-3)<BR>\n" );
document.write( "x = 1, y = -3<BR>\n" );
document.write( "r = sqrt(x^2 + y^2) = sqrt(10)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "sin(x) = y/r = -3/sqrt(10)<BR>\n" );
document.write( "cos(x) = x/r = 1/sqrt(10)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sin(2x) = 2sin(x)(cos(x) = -6/10 = -3/5 --> Q4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "cos(2x) = sqrt(1 - sin^2(2x)) = 4/5<BR>\n" );
document.write( "tan(2x) = sin/cos = -3/4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );