Telling mathematica that something is an integer

Asked Feb 22 '14 at 20:01

Active Feb 22 '14 at 20:01

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Is it possible for me to tell mathematica something is an integer?

like if I typed

Sin[n Pi]+Cos[n Pi]

it would tell me it equals 1 for even n and -1 for odd n?

This would really help me check my answers when trying to find Fourier Series (I am just learning them now)

asked Feb 22 '14 at 20:01

user12546

2

Try: Assuming[Element[n, Integers], Simplify[Cos[n Pi] + Sin[n Pi]]] OR Simplify[Cos[n Pi] + Sin[n Pi], Element[n, Integers]] – RunnyKine Feb 22 '14 at 20:14
Use e.g. Simplify[Sin[n Pi] + Cos[n Pi], n ∈ Integers]. More details can be found here How to specify assumptions before evaluation?. – Artes Feb 22 '14 at 20:43
2

@Artes, I'm curious, how is what you wrote different from my second suggestion? – RunnyKine Feb 22 '14 at 21:13
@RunnyKine There's a good link. – Artes Feb 22 '14 at 21:15
@Artes, okay :) – RunnyKine Feb 22 '14 at 21:17

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