# How do you find the #arcsin(sin((7pi)/6))#?

##### 1 Answer

The answer is:

The *range* of a function **by definition** ,

It means that we have to find an angle

From trigonometry we know that

for any angle

This is easy to see if use the definition of a *sine* as an *ordinate* of the end of a radius in the unit circle that forms an angle

We also know that *sine* is an odd function, that is

We will use both properties as follows:

As we see, the angle *sine* equals to