- #1

- 44

- 1

what do you do if you have to evaluate arcsin2?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter fizzzzzzzzzzzy
- Start date

- #1

- 44

- 1

what do you do if you have to evaluate arcsin2?

Physics news on Phys.org

- #2

Homework Helper

- 3,134

- 8

fizzzzzzzzzzzy said:what do you do if you have to evaluate arcsin2?

Nothing, since 2 is not in the domain.

- #3

Science Advisor

Homework Helper

- 43,008

- 974

[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

Homework Helper

- 3,351

- 7

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

- #5

- 13,316

- 2,696

fizzzzzzzzzzzy said: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

Science Advisor

Homework Helper

Gold Member

Dearly Missed

- 10,106

- 136

Gib Z said: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.

Share:

- Replies
- 5

- Views
- 865

- Replies
- 2

- Views
- 600

- Replies
- 1

- Views
- 871

- Replies
- 14

- Views
- 3K

- Replies
- 25

- Views
- 886

- Replies
- 1

- Views
- 975

- Replies
- 18

- Views
- 887

- Replies
- 6

- Views
- 960

- Replies
- 3

- Views
- 945

- Replies
- 21

- Views
- 665