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# arcsine

The inverse of the sine function, usually abbreviated arcsin. It is defined on the restricted domain $$[-1,1]$$, such that for any real number $$x \in [-1,1]$$, $$\arcsin(x)=a$$ if and only if $$\sin(a)=x$$. The principal arcsine takes its values in the interval $$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$$.

Arcsine may also be abbreviated by asin or sin-1.

Citation Info

• [MLA] “arcsine.” Platonic Realms Interactive Mathematics Encyclopedia. Platonic Realms, 21 Feb 2013. Web. 21 Feb 2013. <http://platonicrealms.com/>
• [APA] arcsine (21 Feb 2013). Retrieved 21 Feb 2013 from the Platonic Realms Interactive Mathematics Encyclopedia: http://platonicrealms.com/encyclopedia/arcsine/