Let an input x(t) = 2 sin(10πt) + 5 cos(15πt) + 7 sin(42πt) + 4 cos(45πt) is passed through an LTI system having an impulse response
h(t)=2(‌
sin‌⁡(10π‌t)
π‌t
)cos⁡(40πt)
The output of the system is

Question

)cos⁡(40πt)
The output of the system is

Examsnet · Accepted Answer

Correct Answer is : 7 sin(42πt) + 4 cos(45πt)

GATE Electrical Engineering (EE) 2022 Solved Paper