document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077636>Question 1077636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi can someone help me with this problem please? THANK YOU! \r<BR>\n" );
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document.write( "        State the exact value of t,given cot t=-1/root3 and t[0,2pi)terminates QII\r<BR>\n" );
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document.write( "             Select one<BR>\n" );
document.write( "                       a. 5pi/6<BR>\n" );
document.write( "                       b.7pi/6<BR>\n" );
document.write( "                       c.pi/3<BR>\n" );
document.write( "                       d.2pi/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692097 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=692097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cot(t) = -1/sqrt(3)\r<BR>\n" );
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document.write( "since cot(t) = 1/tan(t), then:\r<BR>\n" );
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document.write( "1/tan(t) = -1/sqrt(3)\r<BR>\n" );
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document.write( "solve for tan(t) to get tan(t) = -sqrt(3)\r<BR>\n" );
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document.write( "if you assume tan(t) is positive, you will get the equivalent angle in the first quadrant.\r<BR>\n" );
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document.write( "use your calculator to solve for tan^-1(sqrt(3)) and you will find that t = 60 degrees.\r<BR>\n" );
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document.write( "that's in the first quadrant.\r<BR>\n" );
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document.write( "you want the equivalent angle in the second quadrant.\r<BR>\n" );
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document.write( "the angle in the second quadrant is equal to 180 minus the angle in the first quadrant.\r<BR>\n" );
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document.write( "that makes the angle equal to 180 - 60 = 120 degrees.\r<BR>\n" );
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document.write( "the equivalent angle in radians is equal to 120 * pi / 180 = 2/3 * pi.\r<BR>\n" );
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document.write( "that's selection d.\r<BR>\n" );
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document.write( "if your calculator is set to radians, then your answer will be as follows:\r<BR>\n" );
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document.write( "tan^-1(sqrt(3)) = 1.047197551 radians\r<BR>\n" );
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document.write( "divide that by pi to get tan^-1(sqrt(3)) = .333333333 * pi radians.\r<BR>\n" );
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document.write( "since .3333333 is equal to 1/3, then the calculator is telling you that tan^-1(sqrt(3)) is equal to 1/3 * pi radians.\r<BR>\n" );
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document.write( "that's in the first quadrant.\r<BR>\n" );
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document.write( "the equivalent angle in the second quadrant is equal to pi - 1/3 * pi which is equal to 1/3 * pi.\r<BR>\n" );
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document.write( "that's selection d again.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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