Polar Form of Complex Numbers

Question 1

What is the conjugate and modulus of 2 – 6i?

Revolt · Accepted Answer

2 + 6i ;

Question 2

What is the argument of Negative 5 StartRoot 3 EndRoot + 5 i ?

Revolt · Accepted Answer

150°

Question 3

What is the polar form of 7 StartRoot 3 EndRoot minus 7 i ?

Revolt · Accepted Answer

14(cos(330o) + i sin(330o))

Question 4

What is the polar form of Negative 9 minus 9 I StartRoot 3 EndRoot ?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/0a997a3113068a07705573fea51c6907.png

Question 5

What is the rectangular form of 6(cos(225o)+ i sin(225o))?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/a3d2e44dcaccb5058509cbac25f04004.png

Question 6

Which point has coordinates (4, StartFraction 3 pi Over 4 EndFraction)

Revolt · Accepted Answer

B

Question 7

Which coordinates represent the plotted point? Check all that apply.

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/cb31f85b9bd457f808c64eed34987d0d.png; Answer image: //media.edgenuity.com/EVresources/889d9cdbf5e6dc55ff74415f44586b99.png; (−3, 2)

Question 8

Which of the following represents 2 – 4i?

Revolt · Accepted Answer

[Image: On a coordinate plane, the y-axis is labeled imagi...]

Question 9

Which of the following best explains why a complex number z = a + bi and its polar form represent the same number?

Revolt · Accepted Answer

By definition, .

Polar Form of Complex Numbers Answers

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