document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148202>Question 148202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify the identity.\r<BR>\n" );
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document.write( "a)(csc(-t)-sin(-t))/(sin(-t))=cot^(2)t\r<BR>\n" );
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document.write( "b)ln cotx= -ln tanx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108604 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)(csc(-t)-sin(-t))/(sin(-t))=cot^(2)t\r<BR>\n" );
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document.write( "Kick out those t's to make this thing look better.\r<BR>\n" );
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document.write( "(csc-sin)/(sin)=cot^2\r<BR>\n" );
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document.write( "Plug in identities you already know.\r<BR>\n" );
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document.write( "cot^2=cos^2/sin^2<BR>\n" );
document.write( "csc=1/sin\r<BR>\n" );
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document.write( "(1/sin)-sin/sin)=cos^2/sin^2\r<BR>\n" );
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document.write( "Do 1/sin-sin.\r<BR>\n" );
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document.write( "(1/sin)-sin=(1/sin)-(sin^2/sin) or (1-sin^2)/sin\r<BR>\n" );
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document.write( "1-sin^2=cos^2<BR>\n" );
document.write( "So (1-sin^2)/sin = cos^2/sin.\r<BR>\n" );
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document.write( "Plug that back into ((1/sin)-sin)/sin=cos^2/sin^2\r<BR>\n" );
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document.write( "and get (cos^2/sin)/sin=cos^2/sin^2\r<BR>\n" );
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document.write( "Change (cos^2/sin)/sin to (cos^2/sin)(1/sin) and get cos^2/sin^2, or cot^2. </SPAN>\n" );
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