Test Academy | Let an input x(t) = 2 sin(10πt)+ 5 cos(15πt) +7 sin(42πt) + 4cos(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 2 sin(10πt)+ 5 cos(15πt), 2 sin(10πt)+ 4 cos(45πt), 7 sin(42πt)+ 4 cos(45πt), 5 cos(15πt)+ 7 sin(42πt)

Question

Let an input x(t) = 2 sin(10πt)+ 5 cos(15πt) +7 sin(42πt) + 4cos(45πt) is passed through an LTI system having an impulse response,

h(t)=2(sin(10πt)/πt) cos(40πt)