Question

Is the signal sin(t) anti-symmetric?

(a) YES

(b) NO

I got this question during a job interview.

The question is from Signal Classification and Properties in portion Signals and Systems Basics of Signals and Systems

Answer 1

Right answer is (a) YES

The explanation: A signal is said to be anti-symmetric or odd signal when it satisfies the following condition:

⇒ x(t) = – x(t)

Now, here, x(t) = sin(t) ⇒ x(-t) = sin(-t) = – sin(t)

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