document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604042>Question 604042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove trigonometric identity (csc^2(x)-1)(sin(x))= cot(x)cos(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380929 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=380929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> prove trigonometric identity <BR>\n" );
document.write( "(csc^2(x)-1)(sin(x))= cot(x)cos(x)<BR>\n" );
document.write( "Starting with left side:<BR>\n" );
document.write( "(csc^2-1)(sin)<BR>\n" );
document.write( "=((1/sin^2)-1)sin<BR>\n" );
document.write( "=(1/sin)-sin<BR>\n" );
document.write( "=(1-sin^2)/sin<BR>\n" );
document.write( "=cos^2/sin<BR>\n" );
document.write( "=cos/sin*cos<BR>\n" );
document.write( "=cotcos<BR>\n" );
document.write( "verified: left side=right side </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );