document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394202>Question 394202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the complex number 5+6i find the value of &#952; (theta) in the trigonometric form (answer to the nearest hundredth of a degree). \r<BR>\n" );
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document.write( "I have a test on complex numbers tomorrow and this kind of problem will be on it. I don't understand it at all, so thank you for any help on this. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279705 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=279705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"For the complex number 5+6i find the value of &#952; (theta) in the trigonometric form (answer to the nearest hundredth of a degree). \r<BR>\n" );
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document.write( "I have a test on complex numbers tomorrow and this kind of problem will be on it. I don't understand it at all, so thank you for any help on this.\"\r<BR>\n" );
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document.write( "when complex numbers are plotted in x + iy (standard cartesian form) the x axis is the Real numbers, the y-axis is the Imaginary axis, the iy gets plotted against the y-axis\r<BR>\n" );
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document.write( "in trigonometric form:<BR>\n" );
document.write( "the distance r from the origin to where z = x + iy is plotted is the hypotenuse of a right triangle<BR>\n" );
document.write( "the x-leg equals rcos(&#952;)<BR>\n" );
document.write( "the y-leg equals rsin(&#952;)<BR>\n" );
document.write( "&#952; (theta) is the angle between the line r makes and the real (x) axis<BR>\n" );
document.write( "r = sqrt(x^2 + y^2)<BR>\n" );
document.write( "z = rcos(&#952;) + risin(&#952;) = r(cos(&#952;) + isin(&#952;))\r<BR>\n" );
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document.write( "5 + 6i is in quadrant I, the quadrants are numbered clockwise<BR>\n" );
document.write( "r = sqrt(5^2 + 6^2)<BR>\n" );
document.write( "r = sqrt(25 + 36)<BR>\n" );
document.write( "r = sqrt(61)<BR>\n" );
document.write( "&#952; = atan(abs(y/x)), where atan is arctangent, and abs means absolute value<BR>\n" );
document.write( "&#952; = atan(abs(y/x)) = atan(6/5)<BR>\n" );
document.write( "&#952; = 50.19 degrees to the nearest hundredth\r<BR>\n" );
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