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1.8 E: Trigonometry

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Question 68

In triangle ABCABCABC, side AB AB\,AB has length 6 cm, side AC AC\,AC has length 10 cm and ∠BAC=θ\angle BAC = \theta∠BAC=θ, where θ \theta\,θ is measured in degrees. The area of triangle ABC ABC\,ABC is 18 cm2

a.

Find the two possible values of sin⁡θ\sin \thetasinθ.

[4]
b.

Given that BC BC\,BC is the longest side of the triangle, find the exact length of BCBCBC.

[4]

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