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Chapter 9: Q. 10 (page 591)

True or False

The polar form of a nonzero complex number is unique.

Short Answer

Expert verified

Given statement is true.

Step by step solution

01

Step 1. Given information

A statement is given as The polar form of a nonzero complex number is unique.

02

Step 2. Explanation

While we convert into polar form, there are two things radius and angle.

Radius of different form may be same but angle is unique for a complex number.

Consider complex number as,

z=x+iy

Now the angle is

胃=cos-1xr=sin-1yr=tan-1yx

Angle is unique, hence given statement is true.

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Most popular questions from this chapter

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

r=3-3sin胃

Findzwand zw. Leave the answers in polar form.

role="math" localid="1646661399572" z=2+2iw=3-i

Write the expression in the standard form a+ib.

12cos72掳+isin72掳5

The difference formula for cosine iscosA-B=________.

Explain how you proceed to convert from rectangular coordinates to polar coordinates.
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