document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824915>Question 824915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of x for which the statement csc(7x+9)=sec(5x) is true </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497062 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=497062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of x for which the statement csc(7x+9)=sec(5x) is true<BR>\n" );
document.write( "csc(7x+9)=sec(5x)<BR>\n" );
document.write( "1/sin(7x+9)=1/cos(5x)<BR>\n" );
document.write( "Identity:cosA=sin(90-A)<BR>\n" );
document.write( "1/sin(7x+9)=1/sin(90-5x)<BR>\n" );
document.write( "7x+9=90-5x<BR>\n" );
document.write( "7x+9+5x=90<BR>\n" );
document.write( "12x=81<BR>\n" );
document.write( "x=81/12=6.75<BR>\n" );
document.write( "Note: This supersedes an earlier solution. </SPAN>\n" );
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