document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=809708>Question 809708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the exact angle if cot= -37 degrees between 3pie/2 and 2. I am trying to find the sin 2 theta.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #487732 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=487732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the exact angle if cot= -37  between 3pie/2 and 2pi . I am trying to find the sin 2 theta. <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Note: cot cannot be -37 degrees.<BR>\n" );
document.write( "Why? cot is not an angle.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "I'll assume you meant cot(x) = -37 <BR>\n" );
document.write( "Then tan(x) = -1/37<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Then x = arctan(-1/37) = -0.0270 radians<BR>\n" );
document.write( "----<BR>\n" );
document.write( "So, sin(theta) = -0.027 <BR>\n" );
document.write( "And, cos(theta) = 0.9996<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Finally:: sin(2 theta) = 2sin(th)cos(th)=2*-0.027*0.9996 = -0.0540<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "St\r<BR>\n" );
document.write( "\n" );
document.write( "=====<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );