Question

What is the domain of f(x) = cos(x)?

the set of real numbers Negative 2 pi less-than-or-equal-to x less-than-or-equal-to 2 pi
the set of real numbers Negative 1 less-than-or-equal-to x less-than-or-equal-to 1
the set of real numbers 0 less-than-or-equal-to x less-than-or-equal-to 2 pi
the set of all real numbers

Answer 1

OPTION D: the set of all real numbers

Step-by-step explanation:

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Answer 2

Option D: The set of all real numbers

Step-by-step explanation:

Given that the function
`f(x)=cos (x)`

We need to determine the domain of the function.

The domain of the function is the set of all input values for which the function is real and well defined.

In other words, the domain of the function is the set of all independent x - values of the function.

Thus, the function cos (x) is real and well defined in the interval
`(-\infty, \infty)`

Hence, the function cos (x) is real and well defined for all real numbers.

Therefore, the domain of the function
`f(x)=cos (x)` is the set of all real numbers.

Hence, Option D is the correct answer.