Polar Coordinates and Complex Numbers

Polar Coordinates and Complex Numbers

11th Grade

15 Qs

quiz-placeholder

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Polar Coordinates and Complex Numbers

Polar Coordinates and Complex Numbers

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSN.CN.B.4

Standards-aligned

Created by

Anthony Clark

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.

(-10√3, 10)

(10√3, -10)

(10, -10√3)

(10√2, -10)

Tags

CCSS.HSN.CN.B.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the rectangular coordinates of each polar point. (4, 3π/2)

(4,4)

(4,0)

(0,-4)

(0,1)

Tags

CCSS.HSN.CN.B.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find polar coordinates for the point:
(√3 , 1)

(2, π/6)

(-2, -π/6)

(1,0)

(4π,-2)

Tags

CCSS.HSN.CN.B.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert from rectangular to polar coordinates. (-4, 4)

(4√2, π/4)

(4√2, 3π/4)

(4√2, -π/4)

(-4√2, -7π/4)

Tags

CCSS.HSN.CN.B.4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What complex number is shown on the graph?

(-2,-3)

Answer explanation

Since complex numbers can be graphed like rectangular coordinates in a complex plane, converting them to polar form is just like converting rectangular coordinates to polar form.

Tags

CCSS.HSN.CN.B.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write the complex number in polar form

√50 (cos π/2 + i sin π/2)

50 (cos π/4 + i sin π/4)

√50 (cos 5π/4 + i sin 5π/4)

√50 (cos π/4 + i sin π/4)

Tags

CCSS.HSN.CN.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 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

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