what is the domain of f(x) = cos(x)?\n the set of real numbers -2π≤x≤2π\n the set of real numbers -1≤x≤1\n…

what is the domain of f(x) = cos(x)?\n the set of real numbers -2π≤x≤2π\n the set of real numbers -1≤x≤1\n the set of real numbers 0≤x≤2π\n the set of all real numbers

what is the domain of f(x) = cos(x)?\n the set of real numbers -2π≤x≤2π\n the set of real numbers -1≤x≤1\n the set of real numbers 0≤x≤2π\n the set of all real numbers

Answer

Answer:

E. the set of all real numbers

Explanation:

Step1: Recall cosine function property

The cosine function $y = \cos(x)$ is defined for any real - valued input $x$. There are no restrictions such as division by zero or taking the square root of a negative number for the cosine function.

Step2: Determine the domain

Since there are no values of $x$ for which $\cos(x)$ is undefined in the real - number system, the domain of $y=\cos(x)$ is the set of all real numbers, which can be written in interval notation as $(-\infty,\infty)$.