document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916481>Question 916481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you determine the exact value of tan2x if cotx=4/3,0<x<pi/2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556077 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=556077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> determine the exact value of tan2x if cotx=4/3,0<x<pi/2?<BR>\n" );
document.write( "cotx=1/tanx=4/3<BR>\n" );
document.write( "tanx=3/4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan2x=%282tanx%29%2F%281-tan%5E2%28x%29%29=%282%283%2F4%29%29%2F%281-9%2F16%29=%283%2F2%29%287%2F16%29=3%2F2%2A16%2F7=48%2F14=24%2F7 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "tanx=3/4<BR>\n" );
document.write( "x=36.87<BR>\n" );
document.write( "2x=73.74<BR>\n" );
document.write( "by calculator:<BR>\n" );
document.write( "tan2x=tan 73.74&#730;&#8776;3.4286...<BR>\n" );
document.write( "exact value as computed=48/24&#8776;3.4285... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );