let us say, we are given a curve..
i will describe everything from figure…
u should know that this is the least found thing on internet..so it is valuable…
the above kind of figure are always odd…because y=sinx is odd…and most of them are similar behaviour fxns….so they are odd…
and there is next way called “rotational symmetry” to identify if it is odd.
first rotate the y=sinx figure into Y
then into X
and finally if the same curve continues, then it is odd…
it is equal when seen through origin..
so it is odd.
(LOGIC behind this:
from algebra, if f(x)=-f(-x)…then the function can be seen like this
f(x)=f(-x)…..f(x) is reflected through Y
i know that all of you have spent most time in searching…how to determine whether it is odd or even functions…now i am sure, that you got the thing…
this is used in fourier series in electric circuit theory( probably in other things also).
if it is neither odd nor even , then it is called NEITHER.
(the process of finding odd is called “rotational symmeter”…”origin symmetry”)
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