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

\(\rm h(t) = 2 \left( \frac{\sin (10 \pi t)}{\pi t} \right) \cos (40 \pi t)\)

The output of the system is

1
2 sin(10πt) + 5 cos(15πt)
2
5 cos(10πt) + 7 sin(15πt)
3
7 sin(42πt) + 4 cos(45πt)
4
2 sin(10πt) + 4 cos(45πt)

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