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complex exponential/trigonometric

asked 2010-09-25 14:36:07 -0500

yaman gravatar image

updated 2011-04-28 12:05:48 -0500

Kelvin Li gravatar image

Is there any command equivalent to the Mathematica's "TrigToExp" and "ExpToTrig"? Where should I look for general support on complex exponential/trigonometric functions?

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answered 2010-09-29 00:12:31 -0500

Mitesh Patel gravatar image

updated 2010-09-29 00:14:30 -0500

This works for me in Sage 4.5.3:

sage: x = var('x')
sage: t1 = cos(x)
sage: t2 = e^(I * x) / 2 / I - e^(-I * x) / 2 / I
sage: sageobj(t1._maxima_().exponentialize())
1/2*e^(-I*x) + 1/2*e^(I*x)
sage: sageobj(t2._maxima_().demoivre())
sin(x)

Perhaps there's a simpler way? I don't think we've wrapped Maxima's demoivre and exponentialize in Sage. They're documented here.

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Comments

Oh, that's great. Can you file a ticket to do so - perhaps with Mma-like notation, if it ends up being appropriate? kcrisman ( 2010-09-29 16:41:45 -0500 )edit
I've opened #10038 (http://trac.sagemath.org/sage_trac/ticket/10038). Mitesh Patel ( 2010-09-29 17:10:18 -0500 )edit
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answered 2012-03-25 05:56:48 -0500

Hi, just wondering if any work has been done on this yet? It's been a while, so I thought there may be some updates. Anyway, I'm a total exponentiation geek (or call me anti-trigonometric freak if you like), so a simple TrigToExp function in Sage would be nice.

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Asked: 2010-09-25 14:36:07 -0500

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Last updated: Mar 25 '12