7.5 Proving Trigonometric Identities
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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\betacotβ−tanβ=2cot2β

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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.

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7.5 Proving Trigonometric Identities Questions

Practise Edexcel A Level Maths 7.5 Proving Trigonometric Identities with exam-style questions for A Level Maths. 27 questions, matched to the Edexcel A Level Maths (9MA0) 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.

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7.5 Proving Trigonometric Identities Questions

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