Calculate cosine in degrees

asked 2016-01-06 14:50:53 +0100

marmistrz
55 ●5 ●5 ●10

I'd like to calculate the value of the cosine of 52 degrees. The following fails:

lam = 52 * sage.units.degree
cos(lam)

How should I do it correctly?

answered 2016-01-06 16:30:12 +0100

vdelecroix
7645 ●20 ●85 ●168 http://www.labri.fr/pe...

updated 2016-01-06 18:05:50 +0100

A degree is easily converted in radian (360° versus $2\pi$)

sage: cos(52 / 360 * (2*pi))
cos(13/45*pi)

While this is perfectly correct, this is not very useful. In order to get a numerical approximation you can do

sage: c = cos(52 / 360 * (2*pi))
sage: c.numerical_approx()
0.615661475325658

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Comments

Nice, though I do think it would be useful for Sage to auto-convert when the units are actually given.

kcrisman ( 2016-01-07 15:23:09 +0100 )edit

@kcrisman: I agree with you but there is no such module as sage.units

vdelecroix ( 2016-01-07 15:33:31 +0100 )edit

Perhaps the OP was using http://doc.sagemath.org/html/en/refer... ?

kcrisman ( 2016-01-08 07:12:45 +0100 )edit

Right. Then it is units.angles.degree and units.angles.radian which ends up in error in evaluations

sage: s = 2 * units.angles.radian
sage: s.cos()
cos(2*radian)
sage: _.n()
Traceback (most recent call last):
...
TypeError: cannot evaluate symbolic expression numerically

vdelecroix ( 2016-01-08 12:42:25 +0100 )edit

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