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The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, π].Angle 0 pi over 4 7 times pi over 12 3 times pi over 4 11 times pi over 12 πf (x) 1 3 0 –1 0 1What is the period of the function?pi over 3pi over 2π2π

The table provides various values including all minimums and maximums of a cosine function f x on the interval 0 πAngle 0 pi over 4 7 times pi over 12 3 times p class=

Respuesta :

Given the table of values of a Cosine Function, you know that the interval is:

[tex]\lbrack0,\pi\rbrack[/tex]

By definition:

[tex]-1\leq cos(x)\leq1[/tex]

By definition, the Period of the Cosine Function is the distance between the peaks.

Therefore, having:

[tex](0,1),(\pi,1)[/tex]

You get that the Period is:

[tex]Period=\pi-0=\pi[/tex]

Hence, the answer is: Third option.

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