What is the frequency of the function f(x)? f (x) = 3 cos (TX) – 2 Express the answer in fraction form.

Question

What is the frequency of the function f(x)?
f (x) = 3 cos (TX) – 2
Express the answer in fraction form.

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Ximena 22 mins 2021-10-13T03:42:32+00:00 1 Answer 0

Answers ( )

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    2021-10-13T03:43:50+00:00

    Answer:

    Frequency = \frac{1}{2}

    Step-by-step explanation:

    We are given the following function and we are to find its frequency:

    f (x) = 3 cos (\pi x) -2

    We know that the standard form of cosine function is y=Acos (Bx)+c

    where A is the amplitude, B=\frac{2\pi}{\text{Period}} while c is the mid line.

    Frequency is given by:

    F=\frac{1}{P} where F is frequency and P is the period.

    Finding period by comparing the given function:

    y=3cos(\pi x)-2

    Period - B = \pi

    Substituting B to get:

    \pi =\frac{2\pi}{\text{Period}}

    \text{Period}=\frac{2\pi}{\pi}=2

    So, Period = 2.

    Since frequency is \frac{1}{P}, therefore

    Frequency = \frac{1}{2}

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