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asked 2011-11-16 20:54:41 +0200

Bakes gravatar image

updated 2015-05-24 21:05:49 +0200

FrédéricC gravatar image

i know it looks like the short cut is applicable here. But isn't there a second point on the unit circle with the same tangent as 2pi/3? Tan(2pi/3)= -(Sqr.rt. 3) There are other places with the same value for tangent. 5pi/3 Tan(5pi/3)= -(Sqr.rt. 3)

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answered 2011-11-16 22:08:44 +0200

kcrisman gravatar image

I'm not sure what you're asking. Let us know if this is not it.

sage: arctan(tan(2*pi/3))

Notice Sage doesn't automatically simplify this, although

sage: arctan(0)
sage: arctan(1)

You have to do this.

sage: arctan(tan(2*pi/3)).simplify()

To get other branches, you'll want to think about arctan2.

sage: arctan2(tan(2*pi/3),1).simplify()
sage: arctan2(-tan(2*pi/3),-1).simplify()

You can do

sage: arctan2?

for more details.

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Asked: 2011-11-16 20:54:41 +0200

Seen: 4,632 times

Last updated: Nov 16 '11