Sinh ( 3 x pi xi)
sinh(x) = (ex - e-x)/2 so
sinh(3*pi*i) = (e3*pi*i - e-3*pi*i)/2
Now eiy = cos(y) + i*sin(y) so
sinh(3*pi*i) = (cos(3pi)+i*sin(3pi) - cos(3pi)+i*sin(3pi))/2 = i*sin(3pi) = i*0 = 0
.
Thanks, Alan....I always forget that we can use Euler's "formula" on these...!!!