Question 6

Sketched below are the graphs of the functions f(x) = cos x+q  and    g(x) = 2sin bx for xe [-60° ; 120° ].

6.1 Write down the coordinates of the maximum turning point of g in the given interval. (1)

6.2 Determine the values of x where f is strictly increasing in the given interval. (2)

6.3 Determine the values of q and b. (2)

6.4 Use your graphs to determine the values of x for which 2cos x sin 3x — sin 3x0 (4)

[9]

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