Consider the inverse cosine function, defined by or . Complete parts (a) through (d).
(a) What is its domain?

(Type your answer in interval notation. Simplify your answer. Type an exact answer, using as needed. Use integers o
(b) What is its range?

The range of the inverse cosine function is . This means that for any value of in the interval [-1, 1], the corresponding angle that satisfies the equation will always fall between 0 and radians. So, when you take the arccosine of , you’re guaranteed to get an angle within that range.

Additionally, the function is designed such that it is decreasing across its domain. This means that as increases from -1 to 1, decreases from to 0. This characteristic makes arccosine great for applications needing angles corresponding to specific cosine values.