A-LevelMathematicsFunctionsMay/June 2010Paper 1 Q1110 Marks
The function f: x → 4-3 sin x is defined for the domain 0 ≤ x ≤ 2π. (i) Solve the equation f(x) = 2. (ii) Sketch the graph of y = f(x). (iii) Find the set of values of k for which the equation f(x) = k has no solution. The function g : x → 4 – 3 sin x is defined for the domain ½π ≤ x ≤ A. (iv) State the largest value of A for which g has an inverse. (v) For this value of A, find the value of g⁻¹(3).
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