Hilbert Transform of signals

Q2. The Hilbert transform of the signal sinω1t+ sinω₂t is

Options:

a) sinω₁t+ sinω₂t
b) cosω₁t+ cosω₂t
c) sinω₂t+ cosω₂t
d) sinω₁t+ sinω₁t

Correct Answer: b) cosω₁t+ cosω₂t

Explanation :

In Hilbert transform, the signal gets shifted by 900.

So the signal sinω₁t+ sinω₂t gets shifted by 900
sinω1(t+900)+ sinω₂(t+900)
= cosω₁t+ cosω₂t