$\"\"$

The function is $\"\"$ .

Consider $\"\"$ .

The value of $\"\"$ lies in the interval $\"\"$ .

$\"\"$ .

The point $\"\"$ does not lie on the graph $\"\"$ with domain $\"\"$ .

It does not contradict to the definition of the inverse trigonometric function.

$\"\"$ is not a one-to-one function over its complete domain.

Therefore to find its inverse, restrict the domain over the interval $\"\"$ where it is one-to-one.

Domain of $\"\"$ is $\"\"$ and range is $\"\"$ .

$\"\"$ does not belong to the range $\"\"$ .

$\"\"$

No, the point $\"\"$ do not lie on the graph $\"\"$ .

It does not contradict to the definition of the inverse trigonometric function.