document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=642751>Question 642751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove the Following:\r<BR>\n" );
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document.write( "cot^2(x)-cos^2(x)=cot^2(x)cos^2(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404214 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=404214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Prove the Following: <BR>\n" );
document.write( "cot^2(x)-cos^2(x)=cot^2(x)*cos^2(x)<BR>\n" );
document.write( "Start with left side:<BR>\n" );
document.write( "cos*2(x)/sin2(x)-cos^2(x)=[cos^2(x)-sin^2(x)*cos^2(x)]/sin^2(x)<BR>\n" );
document.write( "=cos^2(x)*(1-sin^2(x))/sin^2(x)<BR>\n" );
document.write( "=cos^2(x)*cos^2(x)/sin^2(x)<BR>\n" );
document.write( "=cos^4(x)/sin^2(x)<BR>\n" );
document.write( "=cos^2(x)/sin^2(x)*cos^2(x)=cot^2(x)*cos^2(x)<BR>\n" );
document.write( "verified: left side=right side </SPAN>\n" );
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