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1.5 Trigonometry

1.5 Trigonometry

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Question 169

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

1.5 Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.5 Trigonometry

317 exam-style questions on OCR A Level Maths 1.5 Trigonometry, covering 1.5.1 Definitions for all arguments, 1.5.2 Sine and cosine rules, 1.5.3 Area of a triangle, 1.5.4 Radian measure (A-level only), 1.5.5 Small angle approximations (A-level only), 1.5.6 Graphs of basic trigonometric functions, 1.5.7 Exact values in radians (A-level only), 1.5.8 Reciprocal and inverse trigonometric ratios (A-level only), 1.5.9 Graphs of reciprocal and inverse functions (A-level only), 1.5.10 Trigonometric identities, 1.5.11 Further trigonometric identities (A-level only), 1.5.12 Double angle and compound angle formulae (A-level only), 1.5.13 Geometrical proofs of formulae (A-level only), 1.5.14 Harmonic form Rcos / Rsin (A-level only), 1.5.15 Trigonometric equations, 1.5.16 Proof involving trigonometric functions (A-level only), and 1.5.17 Trigonometric functions in context. Each one has a worked solution and a mark scheme showing where the marks go.

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