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).
State the value of AAA.
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.
Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
