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e^(pi*i)

e^(pi*i)

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g
Standard membergenius
Wayward Soul

Your Blackened Sky

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alrighty-what does e^(pi*i) equal, and why?

M
Standard memberMephisto2

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Originally posted by genius
alrighty-what does e^(pi*i) equal, and why?
The definition of e^(ix) = cos(x) + i*sin(x)

applied for x=pi:

e^(i*pi) = cos(pi) + i*sin(pi) = -1 + 0 = -1

r
Standard memberrgoudie

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A formula that includes the five most important values in mathematics:

e^(i*pi) + 1 = 0

-Ray.

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