document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653218>Question 653218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If tan(x)= 1/cot(x), is tan^-1 (x)= 1/cot^-1 (x)? Why or why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408481 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=408481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If tan(x)= 1/cot(x), is tan^-1 (x)= 1/cot^-1 (x)? Why or why not?<BR>\n" );
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document.write( "tan(x)= 1/cot(x) is true because the value one function is a reciprocal of the value of the other function. <BR>\n" );
document.write( "For example, tan 30º=1/&#8730;3=&#8730;3/3<BR>\n" );
document.write( "1/cot 30º=1/&#8730;3=&#8730;3/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "The inverses, however, are angles.<BR>\n" );
document.write( "Using values for the inverses from the previous example:<BR>\n" );
document.write( "tan^-1 (&#8730;3/3)=30º<BR>\n" );
document.write( "1/cot^-1 (&#8730;3/3)=1/30º&#8800;30º<BR>\n" );
document.write( "Values of reciprocal functions are equal, but their inverses are not. </SPAN>\n" );
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