Complex Numbers in Polar Form

Complex Numbers in Polar Form

11th Grade

13 Qs

quiz-placeholder

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Complex Numbers in Polar Form

Complex Numbers in Polar Form

Assessment

Quiz

Mathematics

11th Grade

Hard

CCSS
HSN.CN.B.4, HSN.CN.B.6

Standards-aligned

Created by

Barbara White

FREE Resource

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the modulus of the complex number. Also state which quadrant the point lies in.

-3 + i

√10, Quadrant 2

√10, Quadrant 3

2, Quadrant 2

3, Quadrant 3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Express this complex number 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

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Express the complex number in polar form.
-2 + 5i
5.39 ( cos 1.95 + i sin 1.95)
5.39 ( cos 65.06 + i sin 65.06)
2.65 ( cos 1.95 - i sin 1.95 )
2.65 ( cos 65. 06 - i sin 65.06 )

Tags

CCSS.HSN.CN.B.4

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image
What complex number is represented by the graph?
-3-i
-3+i
1+3i
1-3i

Tags

CCSS.HSN.CN.B.4

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the absolute value of the complex number. Also state the quadrant in which the point lies.

2 + 3i

√13, Quadrant 1

√5, Quadrant 1

√11, Quadrant 2

√11, Quadrant 3

Tags

CCSS.HSN.CN.B.6

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the modulus 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

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Express the complex number in polar form.
6 + 2i
6.32 ( cos 0.32 + i sin 0.32)
6.32 ( cos 0.45 + i sin 0.45)
1.73 ( cos 0.32 + i sin 0.32)
1.73 ( cos 0.45 - i sin 0.45)

Tags

CCSS.HSN.CN.B.4

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