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Chapter 9: Q. 18 (page 630)

write each complex number in the standard form a+biand plot each in the complex plane.

0.1cos鈦�350鈭�+isin鈦�350鈭�

Short Answer

Expert verified

z=0.098鈭�i0.017

Step by step solution

01

Step 1. Given information

We have to write the given complex number in standard form. Also, we have to plot it in a complex plane.

02

Step 2. Convert the given complex number in standard form

To convert it in the standard form, we know that:

z=x+iy=r(cos胃+isin胃)

For the given equation,

z=0.1cos鈦�350鈭�+isin鈦�350鈭�=0.1(0.98+i(鈭�0.17))=0.098鈭�i0.017

03

Step 3. Plot the graph

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Most popular questions from this chapter

Write the expression in the standard form a+bi.

4cos40掳+isin40掳3

In Problems55鈥�66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

0,2

Write the expression in the standard form a+ib.

role="math" localid="1646666471780" 2cos蟺10+isin蟺105

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

r=2胃

To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace 胃by ________.
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