document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179166>Question 1179166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that sec θ = 5/4 and tan θ < 0 , find the value of sin(2θ). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808690 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(569)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><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=808690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sec θ = 5/4 and tanθ<0<BR>\n" );
document.write( "This is possible iff theta lies in the fourth quadrant.<BR>\n" );
document.write( "cos θ=4/5<BR>\n" );
document.write( "sin θ=-3/5 because sin theta is negative in the fourth quadrant.<BR>\n" );
document.write( "sin(2θ)=2sin θcos θ=2(-3/5)(4/5)=-24/25<BR>\n" );
document.write( "Answer=-(24/25)<BR>\n" );
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