document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394201>Question 394201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Choose the correct quadrant to use in this conversion from standard to trigonometric form:\r<BR>\n" );
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document.write( "1) 6-11i\r<BR>\n" );
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document.write( "I am having a very difficult time understanding this question. Any help is greatly appreciated.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279693 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (6- 11i) is a point in the complex plane. The real part, 6<BR>\n" );
document.write( "is plotted on the horizontal axis, and the imaginary part, -11i,<BR>\n" );
document.write( "is plotted on the vertical axis.<BR>\n" );
document.write( "If you were to draw the axes, measure 6 units to the right and<BR>\n" );
document.write( "11 units down (since it's negative), then you have plotted a point<BR>\n" );
document.write( "in the 4th quadrant. <BR>\n" );
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document.write( "In order to express this in trig form, you need an amplitude <BR>\n" );
document.write( "and an angle<BR>\n" );
document.write( "The angle is a positive angle that is 270 degrees (3 quadrants) +<BR>\n" );
document.write( "the angle whose tangent is 6/11.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11+=+.5454 ALIGN=MIDDLE  ALT=\"6%2F11+=+.5454\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "tan^-1(.5454) = 28.61 degrees<BR>\n" );
document.write( "270 + 28.61 = 298.61 degrees<BR>\n" );
document.write( "The amplitude is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%5E2+%2B+11%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%286%5E2+%2B+11%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2836+%2B+121%29+=+sqrt%28157%29 ALIGN=MIDDLE  ALT=\"sqrt%2836+%2B+121%29+=+sqrt%28157%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28157%29+=+12.53 ALIGN=MIDDLE  ALT=\"sqrt%28157%29+=+12.53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So this is a line 12.53 units from the origin at an angle of 298.61 degrees<BR>\n" );
document.write( "in the + direction (counterclockwise) </SPAN>\n" );
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