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1.4 Trigonometry

1.4 Trigonometry

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Question 31

The height, h h\,h metres, of a point on a rotating wind turbine blade above its central axis is modelled by the function

h(t)=5sin⁡(3t) h(t) = 5 \sin(3t) h(t)=5sin(3t)

where t t\,t is the time in seconds.

a.

Sketch the graph of h(t)h(t)h(t) for 0≤t≤π0 \le t \le \pi0≤t≤π.

[3]
b.

The equation h(t)=kh(t) = kh(t)=k has exactly one solution in the interval 0≤t≤2π3\displaystyle 0 \le t \le \frac{2\pi}{3}0≤t≤32π​.

State the possible values of kkk.

[3]
Markscheme

1.4 Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.4 Trigonometry

84 exam-style questions on CCEA A Level Maths 1.4 Trigonometry, covering 1.4.1 Trigonometry, 1.4.2 Trigonometry, 1.4.3 Trigonometry, 1.4.4 Trigonometry, 1.4.5 Trigonometry, 1.4.6 Trigonometry, and 1.4 Trigonometry. Each one has a worked solution and a mark scheme showing where the marks go.

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