document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42332>Question 42332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of cot(-315º).\r<BR>\n" );
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document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27484 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> METHOD TO BE FOLLOWED BY SOMEONE WHO IS NEW TO THIS TYPE OF PROBLEMS\r<BR>\n" );
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document.write( "First, let us find the quadrant in which the angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-315%5Eo ALIGN=MIDDLE  ALT=\"-315%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > lies.\r<BR>\n" );
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document.write( " -315 = 3 x (-90) -45<BR>\n" );
document.write( "(-90) refers to clockwise rotation from axis OX to OY'.<BR>\n" );
document.write( "2 x (-90) refers to clockwise rotation from axis OX to OX'.<BR>\n" );
document.write( "3 x (-90) refers to clockwise rotation from axis OX to OY.<BR>\n" );
document.write( "So, any further clockwise rotation less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > keeps the radius vector in the 1st quadrant.\r<BR>\n" );
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document.write( "(-45) refers to further <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > clockwise rotation from OY.<BR>\n" );
document.write( "See th figure below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2C%0D%0Aline%280%2C0%2C8%2C8%29%2C%0D%0Agreen%28line%288%2C0%2C8%2C8%29%29%2C%0D%0Agrid%281%29%2C%0D%0Alocate%288%2C8%2CP%29%2C%0D%0Alocate%288%2C0%2CA%29%2C%0D%0Alocate%280%2C0%2CO%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-315%5Eo%29 ALIGN=MIDDLE  ALT=\"cot%28-315%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cot(< AOP) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OA%2FAP ALIGN=MIDDLE  ALT=\"OA%2FAP\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( "[since both OA and AP are along positive x-axis and positive y-axis respectively so both are positive]\r<BR>\n" );
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document.write( "METHOD TO BE FOLLOWED BY SOMEONE WHO IS NOT NEW TO THIS TYPE OF PROBLEMS\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-315%5Eo%29 ALIGN=MIDDLE  ALT=\"cot%28-315%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28360%5Eo-45%5Eo%29 ALIGN=MIDDLE  ALT=\"cot%28360%5Eo-45%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%2845%5Eo%29 ALIGN=MIDDLE  ALT=\"cot%2845%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 1 </SPAN>\n" );
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