so its a simple thing my book says where
we'll use:
t for theta
p for pi
z for a general complex number
j = (-1)^0.5
e^(z+2npj) = e^z
so lets look at this:
e^(z+2npj) = e^z * e^(2npj)
= e^z * (cos(2pn)+j sin(2pn)) which i agree with
the book then says
= e^z * 1
this is where it loses me....what's it done exactly, for n being an integer i agree as sin(0) = 0 and cos(0) = 1....
thanks
we'll use:
t for theta
p for pi
z for a general complex number
j = (-1)^0.5
e^(z+2npj) = e^z
so lets look at this:
e^(z+2npj) = e^z * e^(2npj)
= e^z * (cos(2pn)+j sin(2pn)) which i agree with
the book then says
= e^z * 1
this is where it loses me....what's it done exactly, for n being an integer i agree as sin(0) = 0 and cos(0) = 1....
thanks
-
cos(2pi n) = 1, if n is an integer.
sin (2pi n) = 0, if n is an integer.
sin (2pi n) = 0, if n is an integer.