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Chapter 9: Q. 16 (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.

-2

Short Answer

Expert verified

The plot is

The polar form isz=2cos180掳+isin180掳

Step by step solution

01

Step 1. Given information

Complex number is given as-2

02

Step 2. Plotting point 

Let x=-2&y=0

Therefore the graph is

03

Step 3. Conversion to polar form

The radius is

r=x2+y2=(-2)2+(0)2=2

And the argument is

胃=tan-1yx=tan-10-2=180掳(as0鈮�胃<360掳

The polar coordinates is (2,180鈭�)

The polar form isz=2cos180掳+isin180掳

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Most popular questions from this chapter

To test if the graph of a polar equation may be symmetric with respect to the line胃=蟺2,replace 胃by ______.

In Problems, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.

P=3,2;Q=5,6

In Problems 39鈥�54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

(6.3,3.8)

Use the vectors in the figure at the right to graph each of the following vectors.

3v+u-2w

Identify and graph each polar equation. Verify your graph using a graphing utility.

r2=sin2胃
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