Inverse Trigonometric Functions

Inverse Trigonometric Functions

Now, observe the adjoining graph. The horizontal line below x-axis and
parallel to x-axis intersects the graph of sine function at infinite many
points. Therefore the sine function is not one-one.
Algebraically:

i.e. there are infinite
many angles in the domain of the function having same value 1.

Inverse Trigonometric Functions

Inverse Trigonometric Functions