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1.7.18 Compound angle formulae (A-level only)

When expanding sin⁡(θ±ϕ)\sin(\theta\pm\phi)sin(θ±ϕ), which sign is used between the products?

A

The sine addition identity is sin⁡(θ+ϕ)=\sin(\theta+\phi)=sin(θ+ϕ)= sin⁡θcos⁡ϕ+cos⁡θsin⁡ϕ\boxed{\sin\theta\cos\phi+\cos\theta\sin\phi}sinθcosϕ+cosθsinϕ​.

B

The cosine difference identity is cos⁡(θ−ϕ)=\cos(\theta-\phi)=cos(θ−ϕ)= cos⁡θcos⁡ϕ+sin⁡θsin⁡ϕ\boxed{\cos\theta\cos\phi+\sin\theta\sin\phi}cosθcosϕ+sinθsinϕ​.

C

Use the same sign as between the angles.

D

2−32-\sqrt32−3​

1.7.18 Compound angle formulae (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.7.18 Compound angle formulae (A-level only)

Flashcards for OCR (MEI) A Level Maths 1.7.18 Compound angle formulae (A-level only), covering the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03. 20 cards, matched to the OCR (MEI) A Level Maths (H640) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.

Flashcards