Question: Sin(n*pi/2)

Question:Sin(n*pi/2)

dcasimir 1197 Maple

Is there  a rule similar to cos(n*pi) = -1^(n) for sin(n*pi/2)?

I know for the sin(n*pin/2) it's zero when n is even.

How would a similar rule look for odd integers n, or for all integers n for the case of the sine function?

thanks,

dc

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