**Q1: **

What do we need to do to multiply two complex numbers in polar form?

- Amultiply their moduli together and subtract their arguments
- Bmultiply their moduli together and multiply their arguments
- Cmultiply their moduli together and add their arguments
- Dadd their moduli together and multiply their arguments
- Eadd their moduli together and add their arguments

**Q2: **

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

**Q3: **

Consider the diagram.

Which of the following correctly describes the relationship between and ?

- A
- B
- C
- D
- E

Which of the following correctly describes the relationship between and ?

- A
- B
- C
- D
- E

Hence, express in terms of and .

- A
- B
- C
- D
- E

**Q4: **

Find the trigonometric form of the complex number represented by the given Argand diagram.

- A
- B
- C
- D

**Q5: **

Find the trigonometric form of the complex number represented by the given Argand diagram.

- A
- B
- C
- D

**Q6: **

The Argand diagram shows the complex number .

Write in rectangular form.

- A
- B
- C
- D
- E

Convert to polar form, rounding the argument to two decimal places.

- A
- B
- C
- D
- E

**Q7: **

Express the complex number in trigonometric form.

- A
- B
- C
- D

**Q8: **

Given that , determine the trigonometric form of .

- A
- B
- C
- D
- E

**Q9: **

Given that , determine the trigonometric form of .

- A
- B
- C
- D
- E

**Q10: **

If , what is ?

- A
- B
- C
- D

**Q11: **

Simplify , giving your answer in both algebraic and trigonometric form.

- A,
- B,
- C,
- D,

**Q12: **

Simplify , giving your answer in both algebraic and trigonometric form.

- A,
- B,
- C,
- D,

**Q13: **

Simplify , giving your answer in both algebraic and trigonometric form.

- A,
- B,
- C,
- D,

**Q14: **

Given that , determine the trigonometric form of the complex number .

- A
- B