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1.5 Trigonometry

1.5 Trigonometry

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Question 33

A function is defined as g(x)=arccos⁡xg(x) = \arccos xg(x)=arccosx.

State the maximum possible domain of ggg.

Select the correct option:

  1. {x∈R:0≤x≤π}\{x \in \mathbb{R} : 0 \le x \le \pi\}{x∈R:0≤x≤π}
  2. {x∈R:−1≤x≤1}\{x \in \mathbb{R} : -1 \le x \le 1\}{x∈R:−1≤x≤1}
  3. {x∈R:−π2≤x≤π2}\{x \in \mathbb{R} : -\frac{\pi}{2} \le x \le \frac{\pi}{2}\}{x∈R:−2π​≤x≤2π​}
  4. {x∈R:−1<x<1}\{x \in \mathbb{R} : -1 < x < 1\}{x∈R:−1<x<1}
[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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