document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946716>Question 946716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> let tan(x)=5/12 with x in quadrant 1,<BR>\n" );
document.write( "find csc(2x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577713 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=577713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let tan(x)=5/12 with x in quadrant 1,<BR>\n" );
document.write( "find csc(2x)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "working with a (5-12-13) reference right triangle<BR>\n" );
document.write( "sinx=5/13<BR>\n" );
document.write( "cosx=12/13<BR>\n" );
document.write( "csc(2x)=1/sin(2x)=1/(2sinxcosx)=1/(2*5/13*12/13)=1/(120/169)=169/120 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );