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1.8 E: Trigonometry

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Question 133

The function f f\,f is defined by

f(x)=2arcsin⁡(x−1)f(x) = 2\arcsin(x - 1)f(x)=2arcsin(x−1)

where f f\,f has its greatest possible domain.

a.

Using set notation, state the domain of fff.

[2]
b.

Using set notation, state the range of fff.

[2]
c.

Find the exact value of f(1.5)f(1.5)f(1.5).

[1]
d.

State the coordinates of the endpoint of the graph of y=f(x)y = f(x)y=f(x) at which both x x\,x and f(x)f(x)f(x) take their greatest values.

[1]
Markscheme

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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