$$ 1 \leftarrow $$ Consider the inverse cosine function, defined by $$ y=\cos ^{-1} x $$ or $$ y=\arccos x $$. Complete parts (a) through (d). (a) What is its domain?

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The domain of the inverse cosine function,

, is the interval

. This means that you can only input values for

that fall within this range. Outside of this interval, the function does not provide any real output since the cosine of an angle can never be less than -1 or greater than 1.

Furthermore, the range of

is

. This means that for any valid

within the domain, the output

will always be an angle in radians, located between 0 and

.

Thus, the domain of the inverse cosine function is:

$$
[-1, 1]
$$
The domain of the inverse cosine function is $$[-1, 1]$$.

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

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