document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664416>Question 664416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to prove the identity (7csc^2x-25cscx-12)/(cscx-4) = (7)/(sinx) +3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413492 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=413492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How to prove the identity <BR>\n" );
document.write( "(7csc^2x-25cscx-12)/(cscx-4) = (7)/(sinx) +3<BR>\n" );
document.write( "**<BR>\n" );
document.write( "start with left side:<BR>\n" );
document.write( "(7csc^2x-25cscx-12)/(cscx-4)<BR>\n" );
document.write( "factor<BR>\n" );
document.write( "(7cscx+3)(cscx-4)/(cscx-4)<BR>\n" );
document.write( "=(7cscx+3)<BR>\n" );
document.write( "=7(1/sinx)+3<BR>\n" );
document.write( "=(7/sinx)+3<BR>\n" );
document.write( "verified: left side=right side<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );