document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395841>Question 395841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have a big test on complex numbers tomorrow and I am having a very hard time with this particular question:\r<BR>\n" );
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document.write( "Directions: On a complex plane, a point z has been graphed. your\r<BR>\n" );
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document.write( "If cos&#952;=(-8)/(22) and (&#960;)/(2)&#8804;&#952;&#8804;&#960;:\r<BR>\n" );
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document.write( "a) Find z in standard form.<BR>\n" );
document.write( "b) Find z in trigonometric form. (Use whole degrees)\r<BR>\n" );
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document.write( "&#952;= Theta <BR>\n" );
document.write( "&#960;= pi  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280939 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=280939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the unit vector that spins around the complex plane <BR>\n" );
document.write( "with one end at the origin.<BR>\n" );
document.write( "The information <BR>\n" );
document.write( "(&#960;)/(2)&#8804;&#952;&#8804;&#960is just telling you that <BR>\n" );
document.write( "the unit vector is somewhere in the 2nd quadrant, past<BR>\n" );
document.write( "90 degrees, but not beyond 180 degrees.<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29+=+-8%2F22 ALIGN=MIDDLE  ALT=\"cos%28theta%29+=+-8%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I need to find <BR>\n" );
document.write( "The amplitude of the vertical component is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281+-+%288%2F22%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%281+-+%288%2F22%29%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%28%2822%5E2%2F22%5E2%29+-+%288%2F22%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2822%5E2%2F22%5E2%29+-+%288%2F22%29%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=%281%2F22%29%2Asqrt%2822%5E2+-+8%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2F22%29%2Asqrt%2822%5E2+-+8%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=%281%2F22%29%2Asqrt%28484+-+64%29 ALIGN=MIDDLE  ALT=\"%281%2F22%29%2Asqrt%28484+-+64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F22%29%2Asqrt%28420%29 ALIGN=MIDDLE  ALT=\"%281%2F22%29%2Asqrt%28420%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.9315 ALIGN=MIDDLE  ALT=\".9315\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the imaginary amplitude<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%2F22+=-+.3636 ALIGN=MIDDLE  ALT=\"-8%2F22+=-+.3636\"   DISABLED_style= \"max-width:90%; height:auto;\" > real part<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > in standard form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.3636+%2B+.9315i ALIGN=MIDDLE  ALT=\"-.3636+%2B+.9315i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The angle whose cos = -.3636 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=76.3 ALIGN=MIDDLE  ALT=\"76.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+-+76.3+=+103.69 ALIGN=MIDDLE  ALT=\"180+-+76.3+=+103.69\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > at 104 degrees answer<BR>\n" );
document.write( "Hopefully, I got it right\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "  </SPAN>\n" );
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