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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 121

The lateral displacement, LLL micrometres, of a high-precision industrial cutting head from its central axis is modelled by the equation

L=Asin⁡(t−15)∘ L = A \sin(t - 15)^\circ L=Asin(t−15)∘

where AAA is a constant and ttt is the time in milliseconds since the start of a cycle.

A sensor detects that the first minimum displacement occurs at the point P(105,−12)P(105, -12)P(105,−12).

a.

State the value of AAA.

[1]
b.

The point QQQ is a maximum displacement point on the graph. Given that QQQ is the third maximum point recorded after point PPP, determine the coordinates of QQQ.

[4]
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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