\
The function is
.
The domain of the function is
.
Find the inverse function.
\Change
to
.
.
Interchange the variables
and
.
.
Divide each side by
.

Apply inverse trigonometric property:
.

Change
to
.
The inverse function is
.
Find the range of function.
\
.

Range of cosine function: 
Therefore,
.

The range of
is
.
\
The domain of
is range of
.
The domain of
is
. The Range of of
is domain of
.
The range of
is
or
.
\
The inverse function is
.
The range of
is
.
The domain of
is
.
The range of
is
.