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1.8.8 Proofs with trigonometric identities

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Question 21
a.

For sin⁡θ≠0\sin \theta \neq 0sinθ=0 and cos⁡θ≠0\cos \theta \neq 0cosθ=0, prove that

cosec 2θ−cot⁡2θ=tan⁡θ \text{cosec } 2\theta - \cot 2\theta = \tan \theta cosec 2θ−cot2θ=tanθ
[3]
b.

Explain why the identity cosec 2θ−cot⁡2θ=tan⁡θ\text{cosec } 2\theta - \cot 2\theta = \tan \thetacosec 2θ−cot2θ=tanθ is not valid when sin⁡θ=0\sin \theta = 0sinθ=0.

[2]
Markscheme

1.8.8 Proofs with trigonometric identities Questions

  1. A Level
  2. /Maths
  3. /1.8.8 Proofs with trigonometric identities

38 exam-style questions on AQA A Level Maths 1.8.8 Proofs with trigonometric identities. Each one has a worked solution and a mark scheme showing where the marks go.

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