document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78505>Question 78505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find sec(x) if sin(x)= -4/5 and 270 degrees < x < 360 degrees.\r<BR>\n" );
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document.write( "Can someone please help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56301 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=56301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find sec(x) if sin(x)= -4/5 and 270 degrees < x < 360 degrees.<BR>\n" );
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document.write( "sin(theta)= y/r<BR>\n" );
document.write( "x=sqrt(r^2-y^2)<BR>\n" );
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document.write( "Your problem:<BR>\n" );
document.write( "y = -4<BR>\n" );
document.write( "r=5<BR>\n" );
document.write( "So, x=sqrt(25-16)=3<BR>\n" );
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document.write( "sec(theta) = r/x = 5/3<BR>\n" );
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document.write( "You can see all this if you draw an angle in the 4th quadrant;<BR>\n" );
document.write( "let the distance from the origin be r=5; let the distance below<BR>\n" );
document.write( "the x-axis be 4; then the 3rd side is x=3 and the sec(theta)=r/x=5/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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