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Trigonometry and Modelling

Trigonometry and Modelling

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Question 1
a.

Use the identity for sin⁡(A+B)\sin (A + B)sin(A+B) to express sin⁡2A \sin 2A\,sin2A in terms of sin⁡A \sin A\,sinA and cos⁡A\cos AcosA.

[2]
b.

Use the identity for cos⁡(A+B)\cos (A + B)cos(A+B) to express cos⁡2A \cos 2A\,cos2A in terms of sin⁡A \sin A\,sinA and cos⁡A\cos AcosA.

[2]
ci.

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

[2]
cii.

Hence, express cos⁡2A \cos 2A\,cos2A in terms of sin⁡A\sin AsinA.

[2]
d.

Use the identity for tan⁡(A+B)\tan (A + B)tan(A+B) to express tan⁡2A \tan 2A\,tan2A in terms of tan⁡A\tan AtanA.

[2]
Markscheme

Trigonometry and Modelling Questions

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

137 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.

Question bank