document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697438>Question 697438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> establish each identity.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a)    (1- cos^2 theta)(1+ cot^2 theta)= 1<BR>\n" );
document.write( "b)    tan^2 theta times cos^2 theta + cot^2 theta times sin^2 theta = 1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430012 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)    (1- cos^2 theta)(1+ cot^2 (theta)= 1\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-cos%5E2%28theta%29%29%2A%281%2Bcot%5E2%28theta%29%29 ALIGN=MIDDLE  ALT=\"%281-cos%5E2%28theta%29%29%2A%281%2Bcot%5E2%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28theta%29%29%2A%28cosec%5E2%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28sin%5E2%28theta%29%29%2A%28cosec%5E2%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29%2A%281%2Fsin%5E2%28theta%29%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29%2A%281%2Fsin%5E2%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "=1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b)    tan^2 theta times cos^2 theta + cot^2 theta times sin^2 theta = 1  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );