In the diagram below, the graph of f(x) = tan x is drawn for x ε [0° ; 360°].
4.1 Sketch on the same axis the graph of g(x) = sin 2x for x ε [0° ; 360°]. (4)
4.2 What is the amplitude of f ? (1)
4.3 Write down the period of g. (1)
4.4 For which value(s) of x is:
4.4.1 f(x) < 0 (2)
4.4.2 f(x) . g(x) < 0 (2)
4.5 Write down the range of k(x) if k(x) = g(x) – 1. (2)
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