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Complex Numbers in Polar Form

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Used 3+ times

Complex Numbers in Polar Form
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert to rectangular form:
6(cos⁡ 7π6+isin⁡ 7π6)6\left(\cos\ \frac{7\pi}{6}+i\sin\ \frac{7\pi}{6}\right)  

31\sqrt{31}  

32−332i\frac{3}{2}-\frac{3\sqrt{3}}{2}i  

−33−3i-3\sqrt{3}-3i  

−332+32i-\frac{3\sqrt{3}}{2}+\frac{3}{2}i  

Tags

CCSS.HSN.CN.B.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Express the complex number 2 + 2i√3 in polar form.

4 ( cos π /6 + i sin π /6)

4 ( cos π /3 + i sin π /3)

4 ( cos 2π /3 + i sin 2π /3)

4 ( cos 5π /3 + i sin 5π /3)

Tags

CCSS.HSN.CN.B.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the -3i in polar form

3 ( cos 3π/2 + i sin 3π/2)

3 ( cos π/2 + i sin π/2)

9 ( cos 3π/2 + i sin 3π/2)

3 ( cos 2π + i 2π)

Tags

CCSS.HSN.CN.B.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If

z=1/2 ( cos π /3 + i sin π /3)

w=3 ( cos π /6 + i sin π /6)

Find z/w 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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert to rectangular form:
5(cos⁡ 11π6+isin⁡ 11π6)5\left(\cos\ \frac{11\pi}{6}+i\sin\ \frac{11\pi}{6}\right)  

−5−i5-\sqrt{5}-i\sqrt{5}  

532−52i\frac{5\sqrt{3}}{2}-\frac{5}{2}i  

−422+142i-\frac{\sqrt{42}}{2}+\frac{\sqrt{14}}{2}i  

−4-4  

Tags

CCSS.HSN.CN.B.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which are possible coordinates of the point graphed?

(-2, 120o)

(-2, 60o)

(2, -120o)

(2, 60o)

Tags

CCSS.HSN.CN.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

−6+6i

12i

12

-12

Tags

CCSS.HSN.CN.B.4

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