SOLUTION: Write and sketch: write the following complex numbers in rectangular form and sketch their representation in Argand diagram: 9 cis (3*pi/2) how do i sketch and get the rectangular

You are given a complex number in cis-form  

    z = .


It means that the modulus of this complex number is 9, while its argument is .


The angle    corresponds to the negative direction of the y-axis.


So, in the plane (x,y) you go 9 units down along y-axis and mark there your point 
by the pen on the graph paper.  That is all: the sketch is ready.


The a + bi form is  a + bi = 0 + (-9)i , meaning 9 units down on y-axis.