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1.7.23 Trig to solve problems in context (A-level only)

1.7.23 Trig to solve problems in context (A-level only)

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Question 4

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

1.7.23 Trig to solve problems in context (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.23 Trig to solve problems in context (A-level only)

7 exam-style questions on OCR (MEI) A Level Maths 1.7.23 Trig to solve problems in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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