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What do you do if you have to evaluate arcsin2?

  • #1
what do you do if you have to evaluate arcsin2?
 

Answers and Replies

  • #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.
 
  • #4
Gib Z
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Perhaps get the series for it and sub in 2, see what happens :S
 
  • #5
dextercioby
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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. :smile:
 

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