document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527226>Question 527226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify that the trigonometric equation is an identity.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cot%5E2x+=+%28csc+x+-+1%29%28csc+x+%2B+1%29+ ALIGN=MIDDLE  ALT=\"+cot%5E2x+=+%28csc+x+-+1%29%28csc+x+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348879 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=348879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cot^2x = (csc x - 1)(csc x + 1)<BR>\n" );
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document.write( "Starting with right side<BR>\n" );
document.write( "(csc x - 1)(csc x + 1)<BR>\n" );
document.write( "difference of squares<BR>\n" );
document.write( "(csc^2x)-1<BR>\n" );
document.write( "Identity: cot^2x+1=csc^2x<BR>\n" );
document.write( "(csc^2x)-1=cot^2x<BR>\n" );
document.write( "verified: right side=left side </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );