Find the Domain and Range y=cos(x)

Problem

y=cos(x)

Solution

1. Identify the domain of the function. The cosine function is defined for all real numbers because there are no restrictions such as division by zero or square roots of negative numbers.

2. Determine the domain in interval notation. Since x can be any real value, the domain is (−∞,∞)

3. Identify the range of the function. The cosine function oscillates between a minimum value and a maximum value on the unit circle.

4. Determine the range in interval notation. The output values of cos(x) are always between −1 and 1 inclusive, so the range is [−1,1]

Final Answer

Domain: *(−∞,∞), Range: *[−1,1]

Want more problems? Check here!