# What do you do if you have to evaluate arcsin2?

what do you do if you have to evaluate arcsin2?

Homework Helper
what do you do if you have to evaluate arcsin2?

Nothing, since 2 is not in the domain.

HallsofIvy
Homework Helper
$-1\le sin(x) \le 1$

There is no x such that sin(x)= 2 and so arcsin 2 is not defined.

Gib Z
Homework Helper
Perhaps get the series for it and sub in 2, see what happens :S

dextercioby
Homework Helper
what do you do if you have to evaluate arcsin2?

It comes down to solving the equation

$$\sin x =2$$

which has no solution in $\mathbb{R}$, and in $\mathbb{C}$ has the solution

$$x=-i\ln\left(2\pm i\sqrt{3}\right)+2k\pi \ , \forall k\in\mathbb{Z}$$

arildno