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1.8 E: Trigonometry

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Question 91
a.

Sketch the graphs of y=3cos⁡xy = 3 \cos xy=3cosx and y=sin⁡xy = \sin xy=sinx for 0∘≤x≤180∘ 0^\circ \leq x \leq 180^\circ\,0∘≤x≤180∘ on the same axes.

[2]
b.

Find the exact coordinates of the point of intersection of these graphs, giving the answer in the form (arctan⁡a,kb)(\arctan a, k\sqrt{b})(arctana,kb​), where a a\,a and b b\,b are integers and k k\,k is rational.

[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