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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 130

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

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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