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 ?

Revolt · Accepted Answer

150°

Question 3

What is the polar form of ?

Revolt · Accepted Answer

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

Question 4

What is the polar form of ?

Revolt · Accepted Answer

18 (cosine (StartFraction 4 pi over 3 EndFraction) + I sine (StartFraction 4 pi Over 3 EndFraction) )

Question 5

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

Revolt · Accepted Answer

Negative 3 StartRoot 2 EndRoot minus 3 StartRoot 2 EndRoot i

Question 6

Which point has coordinates

Revolt · Accepted Answer

B

Question 7

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

Revolt · Accepted Answer

(StartRoot 13 EndRoot, 146.3 degrees); (negative StartRoot 13 EndRoot, negative 33.7 degrees); (−3, 2)

Question 8

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