Polar and Complex Numbers

Polar and Complex Numbers

9th - 10th Grade

26 Qs

quiz-placeholder

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Polar and Complex Numbers

Polar and Complex Numbers

Assessment

Quiz

Mathematics

9th - 10th Grade

Medium

CCSS
HSN.CN.B.4, HSN.CN.B.6, HSA.APR.A.1

+2

Standards-aligned

Used 24+ times

FREE Resource

26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the absolute value of the complex number. Also state what quadrant the point would land in.
-3 + i
√10, Quadrant 2
√10, Quadrant 3
2, Quadrant 2
3, Quadrant 3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What quadrant would the point in polar form land in?
4 ( cos π /3 + i sin π /3)
Quadrant 4
Quadrant 1
Quadrant 2
Quadrant 3

Tags

CCSS.HSN.CN.B.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Express the point in polar form in rectangular form.
4 ( cos π /3 + i sin π /3)
2 + 2√3 i
2 + √3 i
2 - 2√3 i
-2 + 2√3 i

Tags

CCSS.HSN.CN.B.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find    
5(cos 2π /3 + i sin 2π /3)⋅2( cos π /3 + i sin π /3)
in polar form.  Then express your final answer in rectangular form.
-10
10
-10i
10i

Tags

CCSS.HSN.CN.B.4

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find
 1/2 ( cos π /3 + i sin π /3)
÷ 3 ( cos π /6 + i sin π /6)
and express your final answer in rectangular form.
√3/12 + 1/12 i
12√3 + 12 i
√3/12 - 1/12 i
12√3 - 12i

Tags

CCSS.HSN.CN.B.4

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find 
(3 + 3√3 i )
using De Moivre's Theorem and express your answer in rectangular form.
-648 - 648 √3 i
-654 - 654 √3 i
-1962 - 1962 √3 i
648 i

Tags

CCSS.HSN.CN.B.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the absolute value of the complex number. Also state what quadrant the point would land in.
2 + 3i
√13,  Quadrant 1
√5,  Quadrant 1
√11, Quadrant 2
√11, Quadrant 3

Tags

CCSS.HSN.CN.B.6

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