document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602458>Question 602458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify  that the equation is an identity:\r<BR>\n" );
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document.write( "[(cotTheta - tanTheta)/(1 - tanTheta)] - (cotTheta) = 1\r<BR>\n" );
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document.write( "When I was solving this my answer led to [(1-tan/tan) * (1/1-tan)] which resulted into 1/tan. Since cot = 1/tan then I had to subtract 1/tan with 1/tan, resulting in 0. So my answer is wrong since 0 =/= 1.\r<BR>\n" );
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document.write( "Please help me with this problem. Also if you can, please show the steps so I can will hopefully get it. I really don't understand this at all. Thank you so much in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380263 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=380263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm going to use 'x' in place of 'theta' (as it's easier/faster to type out)\r<BR>\n" );
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document.write( "(cot(x) - tan(x))/(1 - tan(x)) - cot(x) = 1\r<BR>\n" );
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document.write( "(1/tan(x) - tan(x))/(1 - tan(x)) - cot(x) = 1\r<BR>\n" );
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document.write( "( 1/tan(x) - (tan(x)*tan(x))/tan(x) )/(1 - tan(x)) - cot(x) = 1\r<BR>\n" );
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document.write( "( 1/tan(x) - (tan^2(x))/tan(x) )/(1 - tan(x)) - cot(x) = 1\r<BR>\n" );
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document.write( "( ( 1-tan^2(x))/tan(x) )/(1 - tan(x)) - cot(x) = 1\r<BR>\n" );
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document.write( "( ( 1-tan^2(x))/tan(x) )/((1 - tan(x))/1) - cot(x) = 1\r<BR>\n" );
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document.write( "( ( 1-tan^2(x))/tan(x) )*(1/(1 - tan(x))) - cot(x) = 1\r<BR>\n" );
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document.write( "( 1-tan^2(x) )/(tan(x)(1 - tan(x)))  - cot(x) = 1\r<BR>\n" );
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document.write( "( (1 - tan(x))(1 + tan(x)) )/(tan(x)(1 - tan(x)))  - cot(x) = 1\r<BR>\n" );
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document.write( "( 1 + tan(x) )/tan(x)  - cot(x) = 1\r<BR>\n" );
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document.write( "1/tan(x) + tan(x)/tan(x)  - cot(x) = 1\r<BR>\n" );
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document.write( "cot(x) + 1  - cot(x) = 1\r<BR>\n" );
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document.write( "(cot(x) - cot(x)) + 1 = 1\r<BR>\n" );
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document.write( "0 + 1 = 1\r<BR>\n" );
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document.write( "1 = 1\r<BR>\n" );
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document.write( "So we've shown that the identity is true. </SPAN>\n" );
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