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Chapter 9: Q. 14 (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.

1-3i

Short Answer

Expert verified

The plot is

The polar form isz=2cos300掳+isin300掳

Step by step solution

01

Step 1. Given information

Complex number is given as1-3i

02

Step 2. Plotting point

Let x=1&y=-3

Therefore the plot is

03

Step 3. Conversion to polar form

The radius is

r=x2+y2=12+(-3)2=2

The argument is

胃=tan-1yx=tan-1(-3)1=300掳as0鈮�胃<360掳

The polar coordinate is (2,300鈭�)

The polar form isz=2cos300掳+isin300掳

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Most popular questions from this chapter

tan-1(-1)=_______

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

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Match the graph with the polar equation

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

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

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