a. Sketch the graphs of y = 3 sin x and y = 2 cos x on

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a. Sketch the graphs of y = 3 sin x and y = 2 cos x on the same set of axes (0 ≤ x ≤ 360°).

b. Write down how many solutions there are in the given range for the equation 3 sin x = 2 cos x.

c. Solve the equation 3 sin x = 2 cos x algebraically, giving your answers to one decimal place.

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