document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947431>Question 947431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given csc theta = 27, use trigonometric identities to find the exact value of sec^2 theta. Completely simplify your answers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578080 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=578080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given csc theta = 27, use trigonometric identities to find the exact value of sec^2 theta. Completely simplify your answers.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "csc = r/y<BR>\n" );
document.write( "r = 27 ; y = 1<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x = sqrt[27^2-1] = sqrt(728) = sqrt(16*9*5) = 12sqrt(5)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "sec = x/r = 12sqrt(5)/27<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Ans: sec^2(t) = [12sqrt(5)/27]^2 = 728/729<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );