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1.8 E: Trigonometry

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Question 139

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

1.8 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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