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1.5.14 Harmonic form Rcos / Rsin (A-level only)

Card 1 of 23

What is the amplitude of acos⁡θ+bsin⁡θa\cos\theta+b\sin\thetaacosθ+bsinθ?

A

Its expansion contains −(Rsin⁡α)sin⁡θ-(R\sin\alpha)\sin\theta−(Rsinα)sinθ.

B
  • Minimum: 000
  • Maximum: 202020
C

R=a2+b2R=\sqrt{a^2+b^2}R=a2+b2​, where R>0R>0R>0.

D

Cosine difference: cos⁡(θ−α)=\cos(\theta-\alpha)=cos(θ−α)= cos⁡θcos⁡α\boxed{\cos\theta\cos\alpha}cosθcosα​ +++ sin⁡θsin⁡α\sin\theta\sin\alphasinθsinα.

Card 1 of 23

1.5.14 Harmonic form Rcos / Rsin (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.5.14 Harmonic form Rcos / Rsin (A-level only)

23 flashcards on OCR A Level Maths 1.5.14 Harmonic form Rcos / Rsin (A-level only): the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

Flashcards