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Chapter 9: Q. 18 (page 591)

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

93+9i

Short Answer

Expert verified

The plot is

the polar form isz=18cos30掳+isin30掳

Step by step solution

01

Given information

A complex number is given as93+9i

02

Step 2. Plotting point

Let x=93&y=9i

Therefore the plot is

03

Step 3. Conversion into polar coordinates

The radius is

r=x2+y2=(93)2+(9)2=18

And the argument is 胃=tan-1yx=tan-1993=30掳as0鈮�胃<360掳

Therefore the polar coordinate is (18,30鈭�)

The polar form isz=18cos30掳+isin30掳

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Most popular questions from this chapter

Use the figure at the right. Determine whether the given statement is true or false.

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Use the figure at the right. Determine whether the given statement is true or false.

A+B=F

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