<PRE><B>Question 967558</B>


{{{-pi*i}}} = {{{pi}}}.{{{(cos(3*pi/2) + i*sin(3*pi/2))}}}. 


The modulus of your complex number &amp;nbsp;{{{-pi*i}}}&amp;nbsp; is &amp;nbsp;{{{pi}}} = 3.14... .


The argument of your complex number is &amp;nbsp;{{{(3*pi)/2)}}} &amp;nbsp;&amp;nbsp;(which is 270°).


You may want to look into my lessons on complex numbers in this site


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/Complex-numbers-and-arithmetical-operations.lesson&gt;Complex numbers and arithmetic operations on them&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/Complex-plane.lesson&gt;Complex plane&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/Addition-and-subtraction-of-complex-numbers-in-complex-plane.lesson&gt;Addition and subtraction of complex numbers in complex plane&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/Multiplication-and-division-of-complex-numbers-in-complex-plane-.lesson&gt;Multiplication and division of complex numbers in complex plane&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/Raising-a-complex-number-to-an-integer-power.lesson&gt;Raising a complex number to an integer power&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/How-to-take-a-root-of-a-complex-number.lesson&gt;How to take a root of a complex number&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/Solution-of-the-quadratic-equation-with-real-coefficients-on-complex-domain.lesson&gt;Solution of the quadratic equation with real coefficients on complex domain&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/How-to-take-a-square-root-of-a-complex-number.lesson&gt;How to take a square root of a complex number&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/complex/Solution-of-the-quadratic-equation-with-complex-coefficients-on-complex-domain.lesson&gt;Solution of the quadratic equation with complex coefficients on complex domain&lt;/A&gt;


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