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1.8 E: 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]

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