Search Header Logo

Representing complex numbers

Authored by Wayground Content

Mathematics

9th - 12th Grade

CCSS covered

Representing complex numbers
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

r [ ncos(θ) + i nsin(θ) ]

r [ cos(nθ) + i sin(nθ) ]

rn [ cos(nθ) + i sin(nθ) ]

rn [ cos(θn) + i sin(θn) ]

Tags

CCSS.HSN.CN.B.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Calculate the modulus (R) and argument (θ) for z = 3 - 7i

R = √58, θ = 66.8°

R = 7.6, θ = 246.8°

R = √58, θ = 293.2°

R = 7.6 , θ = 113.2 °

Tags

CCSS.HSN.CN.B.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How do you write an ordered pair?

(X,X)
(θ, r)
(r,θ)
(Y,Y)

Tags

CCSS.HSN.CN.B.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the polar coordinates of the rectangular point. (0,3)

(3,π)
(3,0)
(3,π/2)
(3,-3π/2)

Tags

CCSS.HSN.CN.B.4

5.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

If z = 2(cos(20) + isin(20)) and w = 3(cos(105) + isin(105)), find z / w. Choose all that apply.

2/3(cos(-85) + isin(-85))

2/3(cos(275) + isin(275))

3/2(cos(85) + isin(85))

6(cos(125) + isin(125))

Tags

CCSS.HSN.CN.B.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the rectangular equation x2 + y2 = 9 in polar form.

r = 3 or r = -3

r = 9 or r = -9

r = 6 or r = -6

r = 18 or r = -18

Tags

CCSS.HSN.CN.B.4

7.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

A coordinate system is right handed if

its orientation equals 1

its orientation equals -1

counter clockwise ( 0 < θ < π )

clockwise ( 0 < θ < π )

Tags

CCSS.HSN.CN.B.4

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?