Representing complex numbers

Representing complex numbers

9th - 12th Grade

20 Qs

quiz-placeholder

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Representing complex numbers

Representing complex numbers

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSN.CN.B.4

Standards-aligned

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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

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