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1.7.22 Proofs involving trigonometric functions (A-level only)

1.7.22 Proofs involving trigonometric functions (A-level only)

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Question 2
85%

Prove the following trigonometric identities:

a.

cosec2θ−sec⁡2θ≡cot⁡2θ−tan⁡2θ\text{cosec}^2\theta - \sec^2\theta \equiv \cot^2\theta - \tan^2\thetacosec2θ−sec2θ≡cot2θ−tan2θ

[2]
b.

(cosecθ−sin⁡θ)2≡cot⁡2θ−cos⁡2θ(\text{cosec}\theta - \sin\theta)^2 \equiv \cot^2\theta - \cos^2\theta(cosecθ−sinθ)2≡cot2θ−cos2θ

[3]
Markscheme

1.7.22 Proofs involving trigonometric functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.22 Proofs involving trigonometric functions (A-level only)

38 exam-style questions on OCR (MEI) A Level Maths 1.7.22 Proofs involving trigonometric functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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