What is the domain and range of #y=Arc sin x#?

1 Answer
Oct 31, 2016

#D = {xepsilonR | -1 <= x <= 1}#
#R = {yepsilonR | -pi/2<= y <= pi/2}#

The domain is restricted as #y=sinx# doesn't pass the horizontal line test.

Explanation:

graph{y=arcsinx [-10, 10, -5, 5]}

You can tell from the graph that this is the domain and range. You must note that #+-pi/2# were memorized values or properties of the #y=arcsinx# function.