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1.5 Trigonometry

1.5 Trigonometry

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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

1.5 Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.5 Trigonometry

317 exam-style questions on OCR A Level Maths 1.5 Trigonometry, covering 1.5.1 Definitions for all arguments, 1.5.2 Sine and cosine rules, 1.5.3 Area of a triangle, 1.5.4 Radian measure (A-level only), 1.5.5 Small angle approximations (A-level only), 1.5.6 Graphs of basic trigonometric functions, 1.5.7 Exact values in radians (A-level only), 1.5.8 Reciprocal and inverse trigonometric ratios (A-level only), 1.5.9 Graphs of reciprocal and inverse functions (A-level only), 1.5.10 Trigonometric identities, 1.5.11 Further trigonometric identities (A-level only), 1.5.12 Double angle and compound angle formulae (A-level only), 1.5.13 Geometrical proofs of formulae (A-level only), 1.5.14 Harmonic form Rcos / Rsin (A-level only), 1.5.15 Trigonometric equations, 1.5.16 Proof involving trigonometric functions (A-level only), and 1.5.17 Trigonometric functions in context. Each one has a worked solution and a mark scheme showing where the marks go.

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