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IB DP Maths: AA HL復(fù)習(xí)筆記1.8.2 Modulus & Argument

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月11日 下午3:57

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?

Exam Tip

  • Always draw a quick sketch to help you see what quadrant the complex number lies in when working out an argument
  • Look for the range of values within which you should give your argument

Worked Example

1-8-2-ib-hl-aa-mod-and-arg-we-a

1-8-2-ib-hl-aa-mod-and-arg-we-b

 

 

 

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