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Trigonometry and Modelling

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Question 82
a.

Use the identity for sin⁡(A+B)\sin (A + B)sin(A+B) to express sin⁡Acos⁡A \sin A \cos A\,sinAcosA in terms of sin⁡2A\sin 2Asin2A.

[2]
b.

Use the identity for cos⁡(A+B)\cos (A + B)cos(A+B) to express cos⁡2A−sin⁡2A\cos^2 A - \sin^2 Acos2A−sin2A in terms of cos⁡2A\cos 2Acos2A.

[2]
ci.

Hence, express cos⁡2A \cos^2 A\,cos2A in terms of cos⁡2A\cos 2Acos2A.

[2]
cii.

Hence, express sin⁡2A \sin^2 A\,sin2A in terms of cos⁡2A\cos 2Acos2A.

[2]
d.

Use the identity for tan⁡(A+B)\tan (A + B)tan(A+B) to express tan⁡A1−tan⁡2A\displaystyle \frac{\tan A}{1 - \tan^2 A}1−tan2AtanA​ in terms of tan⁡2A\tan 2Atan2A.

[2]
Markscheme

Trigonometry and Modelling Questions

  1. A Level
  2. /Maths
  3. /Trigonometry and Modelling

348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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