IB DP Maths: AA HL复习笔记1.8.2 Modulus & Argument

How do I find the modulus of a complex number?

• The modulus of a complex number is its distance from the origin when plotted on an Argand diagram
• A modulus is never negative

What features should I know about the modulus of a complex number?

• • the modulus is related to the complex conjugate by…

How do I find the argument of a complex number?

• The argument of a complex number is the angle that it makes on an Argand diagram
  • The angle must be taken from the positive real axis
  • The angle must be in a counter-clockwise direction
• Arguments can be calculated using right-angled trigonometry
  • This involves using the tan ratio plus a sketch to decide whether it is positive/negative and acute/obtuse

What features should I know about the argument of a complex number?