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1.8.8 Proofs with trigonometric identities

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Question 10
a.

A robotic arm's joint efficiency factor EEE is modelled by the formula E=cot⁡β−tan⁡βE = \cot \beta - \tan \betaE=cotβ−tanβ, where β\betaβ is the angle of the joint. Prove that for sin⁡2β≠0\sin 2\beta \neq 0sin2β=0,

cot⁡β−tan⁡β=2cot⁡2β \cot \beta - \tan \beta = 2 \cot 2\beta cotβ−tanβ=2cot2β
[4]
b.

Explain why the identity cot⁡β−tan⁡β=2cot⁡2β\cot \beta - \tan \beta = 2 \cot 2\betacotβ−tanβ=2cot2β is not valid when sin⁡β=0\sin \beta = 0sinβ=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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