Question

The even component of the signal Y (t) = a^jt is _________________

(a) Sin t

(b) Cos t

(c) Sinh t

(d) Cosh t

I had been asked this question in an interview for job.

Enquiry is from Applications of Signals on Circuits in division Signals and Systems Basics of Signals and Systems

Answer 1

Right option is (b) Cos t

Explanation: Let Ya (t) represents the even component of Y (t)

Now, Ya (t) = \(\frac{1}{2}\)[Y (t) + Y (-t)]

= \(\frac{1}{2}\)[a^jt + a^-jt]

= cos t.