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1.8 E: Trigonometry

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Question 101
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]

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank