Find the Domain f(x)=cos(x)

Problem

ƒ(x)=cos(x)

Solution

1. Identify the type of function. The function ƒ(x)=cos(x) is a basic trigonometric function.

2. Determine the constraints on the input variable x The cosine function is defined for every possible real number value of x

3. State the domain in interval notation. Since there are no values of x that result in an undefined expression (such as division by zero or the square root of a negative number), the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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