Lesson Worksheet: Polar Form of Complex Numbers Mathematics
In this worksheet, we will practice representing a complex number in polar form, calculating the modulus and argument, and using this to change the form of a complex number.
Q12:
Simplify , giving your answer in both algebraic and trigonometric form.
- A,
- B,
- C,
- D,
Q19:
Given that , determine the algebraic form of , approximating the real and imaginary parts to the nearest two decimal places.
- A
- B
- C
- D
Q22:
Given that , find .
Q23:
Find the modulus and the principal amplitude of the number .
- A, principal amplitude
- B, principal amplitude
- C, principal amplitude
- D, principal amplitude
Q24:
Find the modulus and the principal amplitude of the number .
- A, principal amplitude
- B, principal amplitude
- C, principal amplitude
- D, principal amplitude
Q25:
Find the modulus and the principal amplitude of the number .
- A, principal amplitude
- B, principal amplitude
- C, principal amplitude
- D, principal amplitude