Write the complex number in polar form

√50 (cos 5π/4 + i sin 5π/4)

Find the square roots of 4√3 + 4i

2.705 + .725i and - 2.705 - .725i

- 2.705 + .725i and 2.705 - .725i

2.799 + .0128i and - 2.799 - .0128i

- 2.799 + .0128i and 2.799 - .0128i

Find the square roots of 1 + i

- 1.09 + .452i and 1.09 - .452i

Polar Coordinates and Complex Numbers

Authored by Barbara White

Mathematics

12th Grade

CCSS covered

Used 1+ times

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27 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the modulus or absolute value of the complex number. Also state what quadrant the point would land in graphically.
-3 + i

√10, Quadrant 2

√10, Quadrant 3

2, Quadrant 2

3, Quadrant 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

MULTIPLE CHOICE QUESTION

5 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

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which are possible coordinates of the point graphed?

(-2, 120^o)

(-2, 60^o)

(2, -120^o)

(2, 60^o)

Tags

CCSS.HSN.CN.B.4

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What complex number is represented by the graph?

-3-i

-3+i

1+3i

1-3i

Tags

CCSS.HSN.CN.B.4

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Convert the rectangular coordinate (0, -3) to polar coordinates.

(3, -270^o)

(3, 270^o)

(-3, 270^o)

Not Possible

Tags

CCSS.HSN.CN.B.4

MULTIPLE CHOICE QUESTION

5 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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Polar Coordinates and Complex Numbers

Find the modulus or absolute value of the complex number. Also state what quadrant the point would land in graphically.
-3 + i

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

Express the complex number in polar form.
-2 + 5i

Which are possible coordinates of the point graphed?

What complex number is represented by the graph?

Convert the rectangular coordinate (0, -3) to polar coordinates.

Express the complex number in polar form.
6 + 2i

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

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.

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.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Polar Coordinates and Complex Numbers

Find the modulus or absolute value of the complex number. Also state what quadrant the point would land in graphically.-3 + i

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

Express the complex number in polar form.-2 + 5i

Which are possible coordinates of the point graphed?

What complex number is represented by the graph?

Convert the rectangular coordinate (0, -3) to polar coordinates.

Express the complex number in polar form.6 + 2i

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

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.

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.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Find the modulus or absolute value of the complex number. Also state what quadrant the point would land in graphically.
-3 + i

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

Express the complex number in polar form.
-2 + 5i

Express the complex number in polar form.
6 + 2i

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

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.

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.