True or False? In Exercises 77-80, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
The function has a period that is three times that of the function .
Consider the given function expressed as,
The period of this function is , which is the standard period of the cosine function.
Now, if the variable in the function above is altered, then the period of the function will be altered. Consider the modified function given below,
Now, the period of this function will .
Note that the coefficient only denotes the amplitude of the function and thus, it does not alter the period of the function whatsoever.
Now, the period of the function expressed as will be
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