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1.5 Trigonometry

1.5 Trigonometry

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Question 82
i.

Solve, for −π<x<π-\pi < x < \pi−π<x<π, the equation

4cos⁡(2x−0.3)+1=0 4\cos(2x - 0.3) + 1 = 0 4cos(2x−0.3)+1=0

giving your answers, in radians, to 2 decimal places.

[5]
ii.

Solve, for 0∘<θ<360∘0^\circ < \theta < 360^\circ0∘<θ<360∘, the equation

3tan⁡θsin⁡θ=8−cos⁡θ 3\tan \theta \sin \theta = 8 - \cos \theta 3tanθsinθ=8−cosθ

giving your answers, in degrees, to one decimal place.

[5]
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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