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Mauricio Murray
Mathematics
21 November, 12:31
Is f (x) - 3 sin 2x-5 cos x a sinusoid
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Javier Tyler
21 November, 12:53
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Yes, that's a sinusoidal function. Its close cousin is the sine function.
Its amplitude is the absolute value of - 3, which comes out to 3.
Its period is 2π/b, where b is the coefficient of x. Here, 2π/b is 2π (2), or 4π. Drawing your first cycle of this cosine function, you'll begin at (0,-3) and end at (4π, - 3).
There's also a phase shift to think about. It's - c/b, which here is - (-5) / 2, or 5/2.
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