**Q1: **

Find the argument of the complex number in radians. Give your answer correct to two decimal places.

- A1.3
- B
- C
- D
- E0.27

**Q2: **

Find the argument of the complex number in radians. Give your answer correct to two decimal places.

- A0.89
- B0.93
- C0.64
- D0.67
- E0.54

**Q3: **

What is the argument of the complex number ?

- A
- B
- C
- D
- E

**Q4: **

What is the argument of the complex number ?

- A
- B
- C
- D
- E

**Q5: **

What is the argument of the complex number , where ?

- A
- B
- C
- D
- E

**Q6: **

What is the argument of the complex number , where and ?

- A
- B
- C
- D
- E

**Q7: **

Consider the complex number .

Find the argument of .

- A
- B7
- C
- D
- E

Hence, find the argument of .

- A
- B
- C
- D
- E

**Q8: **

Find the modulus of the complex number .

- A
- B4
- C
- D1
- E2

Find the argument of the complex number .

- A
- B
- C
- D
- E

Hence, write the complex number in polar form.

- A
- B
- C
- D
- E

**Q9: **

Consider the complex number .

Find the modulus of .

Find the argument of .

- A2
- B
- C
- D
- E

Hence, use the properties of multiplication of complex numbers in polar form to find the modulus and argument of .

- Amodulus = , argument=
- Bmodulus = , argument =
- Cmodulus = 8, argument =
- Dmodulus = 8, argument =
- Emodulus = , argument =

Hence, find the value of .

**Q10: **

What is the argument of the product of and ?

- A
- B
- C
- D
- E

**Q11: **

A complex number is multiplied by another complex number , and then by the complex conjugate . How is the argument of the original complex number affected?

- AIt is increased by the argument of .
- BIt is increased by .
- CIt is unchanged.
- DIt is increased by twice the argument of .
- EIt is increased by twice the argument of .