What is the domain and range of #y = arcsin x#?
1 Answer
Range:
Domain:
Explanation:
The following is a fragment from my lecture about
The original sine function defined for any real argument does not have an inverse function because it does not establish a one-to-one correspondence between its domain and a range.
To be able to define an inverse function, we have to reduce the original definition of a sine function to an interval where this correspondence does take place. Any interval where sine is monotonic and takes all values in its range would fit this purpose.
For a function
This variant of a sine function, reduced to an interval where it is monotonous and fills an entire range, has an inverse function called
It has range