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what do you do if you have to evaluate arcsin2?

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- Thread starter fizzzzzzzzzzzy
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- #1

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what do you do if you have to evaluate arcsin2?

- #2

radou

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what do you do if you have to evaluate arcsin2?

Nothing, since 2 is not in the domain.

- #3

HallsofIvy

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[itex]-1\le sin(x) \le 1[/itex]

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

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

- #4

Gib Z

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

- #5

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what do you do if you have to evaluate arcsin2?

It comes down to solving the equation

[tex] \sin x =2 [/tex]

which has no solution in [itex] \mathbb{R} [/itex], and in [itex] \mathbb{C} [/itex] has the solution

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

- #6

arildno

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

Which would diverge.

A Pade approximant might give you some silly number, though.

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