document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668379>Question 668379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation using the double angle idenities. If secx= sqrt (3), sinx<0, find tan(2x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416142 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=416142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation using the double angle idenities. If secx= sqrt (3), sinx<0, find tan(2x)?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "sinx<0 in quadrants III and IV<BR>\n" );
document.write( "secx>0 in quadrants I and IV<BR>\n" );
document.write( "so, x is in quadrant IV<BR>\n" );
document.write( "secx=&#8730;3/1=hypotenuse/adjacent side (in quadrant IV where sec>0<BR>\n" );
document.write( "opposite side=&#8730;(3-1)=-&#8730;2<BR>\n" );
document.write( "tanx=opposite side/adjacent side=-&#8730;2/1=-&#8730;2<BR>\n" );
document.write( "Identity: <BR>\n" );
document.write( "tan 2x=(2 tanx)/(1-tan^2x)<BR>\n" );
document.write( "=-2&#8730;2/(1-2)<BR>\n" );
document.write( "=2&#8730;2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );