document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132674>Question 1132674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find x for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28%28x%2F2%29-%28pi%2F2%29%29=sqrt%282%29 ALIGN=MIDDLE  ALT=\"tan%28%28x%2F2%29-%28pi%2F2%29%29=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2arccot%28-sqrt%282%29%29+%2B+2%2Api%2An ALIGN=MIDDLE  ALT=\"x=2arccot%28-sqrt%282%29%29+%2B+2%2Api%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" >where n is all integers, but it's wrong?\r<BR>\n" );
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document.write( "i changed tan to -cot so it would be cot(x/2)= -sqrt2 and then solved x for that.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749764 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = 2(pi*n -cot^(-1) (sqrt(2)), where n is an element of Z<BR>\n" );
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document.write( "Here how to get this answer<BR>\n" );
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document.write( "-cot(x/2) = sqrt(2)<BR>\n" );
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document.write( "Multiply both sides by -1 to simplify the equation.<BR>\n" );
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document.write( "cot(x/2) = -sqrt(2)<BR>\n" );
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document.write( "Eliminate the cotangent from the left hand side<BR>\n" );
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document.write( "Take the inverse cotangent of both sides<BR>\n" );
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document.write( "x/2 = pi * n -cot^(-1)(sqrt(2)) for n an element of Z<BR>\n" );
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document.write( "Solve for x<BR>\n" );
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document.write( "x = 2 * pi * n -2 * cot^(-1)(sqrt(2)) for n an element of Z<BR>\n" );
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document.write( "x = 2 * (pi * n -cot^(-1)(sqrt(2)) for n an element of Z  </SPAN>\n" );
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