In a precision manufacturing process, the vertical deflection vvv (in mm) of a control arm is governed by the input signal voltage uuu (in V), according to the function v=4πarcsin(u−2)v = \frac{4}{\pi} \arcsin(u - 2)v=π4arcsin(u−2). The graph of this function is plotted for its full natural domain, and it is strictly increasing between its two endpoints, LLL and MMM. Point MMM represents the state at which both the voltage and the deflection are at their maximum possible values.
State the coordinates of the endpoint MMM.
Select the correct answer from the options below:
(3,2)(3,π2)(2,0)(1,−2) (3, 2) \quad\quad (3, \frac{\pi}{2}) \quad\quad (2, 0) \quad\quad (1, -2) (3,2)(3,2π)(2,0)(1,−2)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.
