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IB DP Maths: AA SL復習筆記3.6.2 Double Angle Formulae

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月18日 上午11:37

Double Angle Formulae

What are the double angle formulae?

  • The?double angle formulae?for?sine?and?cosine?are:
    • These can be found in the formula booklet
    • You do not need to know how to derive them

How are the double angle formulae used?

  • Double angle formulae will often be used with…
    • ... trigonometry exact values
    • ... graphs of trigonometric functions
    • ... relationships between trigonometric ratiosSolve
      • The equation will most likely be in the form of a quadratic
  • Double angle formulae can be used in proving other trigonometric identities

Exam Tip

  • All these formulae are in the?Topic 3: Geometry and Trigonometry?section of the formula booklet
  • If you are asked to show that one thing is identical (≡) to another, look at what parts are missing –? for example, if sinθ has disappeared you may want to choose the equivalent expression for cos2θ that does not include sinθ

Worked Example

aa-sl-3-6-2-double-angle-formulae-we-solution

 

 

 

 

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