Even and odd signals

Even signals are symmetric around vertical axis, and Odd signals are symmetric about origin. Even Signal: A signal is referred to as an even if it is identical to its time-reversed counterparts; x(t) = x(-t).

1. What is the product of an even signal and an odd signal?
2. What is the product of an odd signal and odd signal?
3. Which of the following signal is odd signal?

What is the product of an even signal and an odd signal?

The product of an even signal and an odd signal is the odd signal. The quotient of two even signals is even, and the quotient of two odd signals is even.

What is the product of an odd signal and odd signal?

I: The product of two odd functions is an even function.

Which of the following signal is odd signal?

∴ Sin(t) is an anti-symmetric signal or an odd signal.