document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419581>Question 419581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that the equation is an identity. <BR>\n" );
document.write( "sin^2&#952;(csc^2&#952;-1) = cos^2&#952; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293950 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=293950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> prove that the equation is an identity.<BR>\n" );
document.write( "sin^2&#952;(csc^2&#952;-1) = cos^2&#952;\r<BR>\n" );
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document.write( "..\r<BR>\n" );
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document.write( "Substitute x for theta<BR>\n" );
document.write( "start with left-hand side<BR>\n" );
document.write( "sin^2x(csc^2x-1)<BR>\n" );
document.write( "=sin^2x(1/sin^2x-1)<BR>\n" );
document.write( "=1-sin^2x=cos^2x<BR>\n" );
document.write( "verified:<BR>\n" );
document.write( "left-hand side=right-hand side </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );