I don't have time to review this now, but have added a link to it on an issue
(http://code.google.com/p/sympy/issues/detail?id=2243) so it doesn't get
forgotten.
Aaron Meurer
On Mar 27, 2011, at 9:13 PM, Jack wrote:
> ---
> .../elementary/tests/test_trigonometric.py | 8 +++++++-
> sympy/functions/elementary/trigonometric.py | 16 ++++++++++++----
> 2 files changed, 19 insertions(+), 5 deletions(-)
>
> diff --git a/sympy/functions/elementary/tests/test_trigonometric.py
> b/sympy/functions/elementary/tests/test_trigonometric.py
> index 37b05c0..ade2aca 100644
> --- a/sympy/functions/elementary/tests/test_trigonometric.py
> +++ b/sympy/functions/elementary/tests/test_trigonometric.py
> @@ -266,9 +266,15 @@ def test_asin():
> assert asin(-oo) == I*oo
>
> assert asin(0) == 0
> - assert asin(Rational(1,2)) == pi/6
> assert asin(1) == pi/2
> assert asin(sqrt(3)/2) == pi/3
> + assert asin(sqrt(2)/2) == pi/4
> + assert asin(sqrt((5-sqrt(5))/8)) == pi/5
> + assert asin(Rational(1,2)) == pi/6
> + assert asin((sqrt(2-sqrt(2)))/2) == pi/8
> + assert asin((sqrt(5)-1)/4) == pi/10
> + assert asin((sqrt(3)-1)/sqrt(2**3)) == pi/12
> +
>
> assert asin(x).diff(x) == 1/sqrt(1-x**2)
>
> diff --git a/sympy/functions/elementary/trigonometric.py
> b/sympy/functions/elementary/trigonometric.py
> index 9b39016..5c4c1b9 100644
> --- a/sympy/functions/elementary/trigonometric.py
> +++ b/sympy/functions/elementary/trigonometric.py
> @@ -801,14 +801,22 @@ def eval(cls, arg):
>
> if arg.is_number:
> cst_table = {
> - S.Half : 6,
> - -S.Half : -6,
> + sqrt(3)/2 : 3,
> + -sqrt(3)/2 : -3,
> sqrt(2)/2 : 4,
> -sqrt(2)/2 : -4,
> 1/sqrt(2) : 4,
> -1/sqrt(2) : -4,
> - sqrt(3)/2 : 3,
> - -sqrt(3)/2 : -3,
> + sqrt((5-sqrt(5))/8) : 5,
> + -sqrt((5-sqrt(5))/8) : -5,
> + S.Half : 6,
> + -S.Half : -6,
> + sqrt(2-sqrt(2))/2 : 8,
> + -sqrt(2-sqrt(2))/2 : -8,
> + (sqrt(5)-1)/4 : 10,
> + (1-sqrt(5))/4 : -10,
> + (sqrt(3)-1)/sqrt(2**3) : 12,
> + (1-sqrt(3))/sqrt(2**3) : -12,
> }
>
> if arg in cst_table:
> --
> 1.7.0.4
>
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