document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=605601>Question 605601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you verify that (cot of alpha) / (csc of alpha -1) = (csc of alpha +1) / (cot of alpha)?<BR>\n" );
document.write( "I tried using the quotient identity for cot of alpha but was unsure where to go from there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381743 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=381743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you verify that (cot of alpha) / (csc of alpha -1) = (csc of alpha +1) / (cot of alpha)?<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "cot/(csc - 1) = (csc + 1)/cot<BR>\n" );
document.write( "Cross multiply <BR>\n" );
document.write( "cot^2 = csc^2 - 1<BR>\n" );
document.write( "That's an identity, so QED.<BR>\n" );
document.write( "Or multiply thru by sin^2<BR>\n" );
document.write( "--> cos^2 = 1 - sin^2, the Pythagorean identity.<BR>\n" );
document.write( " </SPAN>\n" );
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