Arc sine function
From Calculus
This article is about a particular function from a subset of the real numbers to the real numbers. Information about the function, including its domain, range, and key data relating to graphing, differentiation, and integration, is presented in the article.Template:Angular function convention
View a complete list of particular functions on this wiki
Definition
The arc sine function is denoted or
.
For in the closed interval
(i.e.,
),
is defined as the unique value
in the closed interval
such that
.
The arc sine function can be considered the inverse function of the restriction of the sine function to the interval .
Key data
Item | Value |
---|---|
default domain | the closed interval ![]() |
range | the closed interval ![]() |
first derivative | ![]() ![]() ![]() ![]() |