Unit Test

Question 1

Find the quotient.a.c.b.d.

Revolt · Accepted Answer

B: B

Question 2

Find the cube roots of -8. Write the answer in a + bi form.a.-2; 1 + i; -1 - ic.-2; 1 + i; 1 - ib.2; -1 + i; 1 - id.-2; -1 + i; 1 - i

Revolt · Accepted Answer

C: C

Question 3

Express the complex number 6 in complex trigonometric form.a.6(cos 270 + i sin 270)c.6(cos 0 + i sin 0)b.6(cos 180 + i sin 180)d.6(cos 90 + i sin 90)

Revolt · Accepted Answer

C: C

Question 4

Use Demoivres Theorem to find .a.1024ic.-1024b.-1024id.1024

Revolt · Accepted Answer

C: C

Question 5

Express the complex number 8(cos30 + i sin30) in standard a + bi form. a. c. b. d. Please select the best answer from the choices provided

Revolt · Accepted Answer

D: D

Question 6

The complex number -5i has the complex trigonometric form of 5(cos 270o + isin 270o)

Revolt · Accepted Answer

A: T

Question 7

What is the product of z1 and z2 if z1 = 2(cos70° + i sin70°) and z2 = 4(cos200° + i sin200°)?a.6(cos270° + i sin270°)c.8(cos70° + i sin70°)b.8(cos14,000° + i sin14,000°)d.8(cos270° + i sin270°)

Revolt · Accepted Answer

D: D

Question 8

Use Demoivres Theorem to find .a.32 - 32ic.-32 + 32ib.-32id.32

Revolt · Accepted Answer

B: B

Question 9

Express the seventh roots of unity in standard form a + bi.a.1 + 0i1 - ic.1 + 0ib.1 + 0i0 - id.1 + 0i

Revolt · Accepted Answer

D: D

Question 10

Find the cube roots of 8i. Write the answer in a + bi form.a.2i; + i; - + ic.2i; - i; - - ib.-2i; + i; - + id.-2i; - i; - - i

Revolt · Accepted Answer

B: B

Unit Test Answers

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