document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031795>Question 1031795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to prove cot x = 1/tan x by using trigonometric ratio? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646455 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = opposite side of angle x.<BR>\n" );
document.write( "let b = adjacent side of angle x.\r<BR>\n" );
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document.write( "tanx = opposite side / adjacent side = a/b\r<BR>\n" );
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document.write( "cotx = adjacent side / opposite side = b/a\r<BR>\n" );
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document.write( "if you take 1 and divide it by tanx, you get 1 / tanx = 1 / (a/b)\r<BR>\n" );
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document.write( "since 1 / (a/b) is equal to 1 * (b/a), you get 1 / tanx = b/a\r<BR>\n" );
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document.write( "since b/a is equal to cotx, you get 1/tanx = cotx.\r<BR>\n" );
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document.write( "that's your proof. </SPAN>\n" );
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