[R] Euler identity with complex exp

[R. Michael Weylandt]

Seems fine to me:

exp(pi + i*2pi) = exp(pi) * exp(i *2pi) = exp(pi) * (cos(2pi) +
i*sin(2*pi)) = exp(pi) *(1+ 0i) = exp(pi) ~ 23.14
exp(pi/2) ~ 4.81

What would you expect?

Michael

On Mon, Jan 30, 2012 at 10:37 AM, Joseph Park <josephpark at ieee.org> wrote:
> Hi,
>
> Am i doing something silly here in expecting Euler's
> formula to be handled by exp? exp( ix ) = cos x + i sin x.
> The first example below follows this, the others not.
>
> Thanks for the education!
>
>  > exp( complex(real = 0, imag = 2*pi) )
> [1] 1-0i
>  > exp( complex(real = pi, imag = 2*pi) )
> [1] 23.14069-0i
>  > exp( complex(real = pi/2, imag = 0) )
> [1] 4.810477+0i
>
>
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>
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