Since sine is not a one-to-one function, the domain must be
limited to -pi/2 to pi/2, which is called the restricted sine
function. The inverse sine function is written as sin^-1(x) or
arcsin(x). Inverse functions swap x- and y-values, so the range
of inverse sine is -pi/2 to /2 and the domain is -1 to 1. When
evaluating problems, use identities or start from the inside
function. I want to talk about the inverse sine function, but
before I do I need to review a little bit about inverse
functions and give you an example f of x equals x squared has no
inverse. Here's a graph of f of x equals x squared it doesn't
have an inverse because it's not 1 to 1 and remember the test
for 1 to 1 is the horizontal line test. If a horizontal line
passes through more than 1 point on the graph of a function it's
not invertible but we can make it invertible by restricting the
domain and the way we do that is we just take a piece of it that
is 1 to 1 like the right hand piece. So let's focus on this
piece here and I'll call it g