Question 5

The graphs of    f(x)1/2 cos x and   g(x) = sin(x + 30°) , for the interval x E [0°; 180°], are drawn below. A(130,9° ; 0,33) is the approximate point of intersection of the two graphs.

5.1 Write down the period of g. (1)

5.2 Write down the amplitude of f (1)

5.3 Determine the value of f(I 80°) — g(180°) (1)

5.4 Use the graphs to determine the values of x,   in the interval xc [0° ; 180°],   for which:

5.4.1 f(x — 10°) = g(x — 10°) (1)

5.4.2 (4)

[8]

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