Double-Angle and Half-Angle Identities — Unit test

Question 1

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

Revolt · Accepted Answer

B

Question 2

Find the cube roots of -8. Write the answer in a + bi form.

Revolt · Accepted Answer

-2; 1 + i; 1 - i

Question 3

Express the complex number 6 in complex trigonometric form.

Revolt · Accepted Answer

6(cos 0 + i sin 0)

Question 4

Use Demoivres Theorem to find .

Revolt · Accepted Answer

-1024

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

Question 6

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

Revolt · Accepted Answer

T

Question 7

What is the product of z1 and z2 if z1 = 2(cos70° + i sin70°) and z2 = 4(cos200° + i sin200°)?

Revolt · Accepted Answer

8(cos270° + i sin270°)

Question 8

Use Demoivres Theorem to find .

Revolt · Accepted Answer

-32i

Question 9

Express the seventh roots of unity in standard form a + bi.

Revolt · Accepted Answer

1 + 0i

Question 10

Find the cube roots of 8i. Write the answer in a + bi form.

Revolt · Accepted Answer

-2i; + i; - + i

Double-Angle and Half-Angle Identities — Unit test Answers