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Chapter 9: Q. 12 (page 591)

In Problems 11鈥�22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

-1+i

Short Answer

Expert verified

The plot is

The polar form isz=2cos135掳+isin135鈭�

Step by step solution

01

Step 1. Given information

The complex number is given as-1+i

02

Step 2. Plotting point

Let x=-1&y=1

Therefore the plot is

03

Step 3. conversion to polar form

The radius is

r=x2+y2=(-1)2+12=2

The argument is

胃=tan-1yx=tan-11(-1)=135掳(as0鈮�胃<360掳

The polar coordinate is (2,135鈭�)

The polar form isz=2cos135掳+isin135'

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