The given function is a cosine function that has an output of <em>0</em> when the the input is .
- The statement which is true is; A zero of the function is
Reasons:
The given function is f(x) = 5·cos(x)
The characteristics of the function are;
The operator of the function is the cosine function
The general form of the cosine function is; y = A·cos(ω·x - Φ) + k
Where:
A = The amplitude of the function
The vertical shift = k
Therefore, by comparison, we have;
The amplitude, <em>A</em> = 5
The period of the function = 2·π
The phase shift, Ф = 0
The vertical shift, k = 0
The zero of the function are given when the output of the function is 0,
which is found as follows;
cos(x) = 0
Which gives a zero of the function as;
Learn more about the cosine function here:
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