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Chapter 9: Q. 15 (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.

-3i

Short Answer

Expert verified

The plot is

The polar form isz=3cos270掳+isin270掳

Step by step solution

01

Step 1. Given information

Complex number is given as-3i

02

Step 2. Plotting point

Let x=0&y=-3

Therefore the plot is

03

Step 3. Conversion to polar form

The radius is

|z|=r=x2+y2r=02+(-3)2=9=3

The argument is

sin胃=yr=-33=-1cos胃=xr=03=0鈬�胃=270鈭�

The polar coordinate is (3,270鈭�)

The polar form isz=r(cos胃+isin胃)z=3cos270掳+isin270掳

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Most popular questions from this chapter

Write the expression in the standard form a+ib.

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

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(-2,0)

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

r=2胃

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

rcos胃=4

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

r2=sin2胃
See all solutions

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