Question: If an LTI system is described by the difference equation y(n)=ay(n-1)+bx(n), 0<a<1, then what is the output of the system when input x(n)=5+12sinfrac{?}{2}n-20cos(?n+frac{?}{4})?(Given a=0.9 and b=0.1)

Options

A : 5+0.888sin(frac{?}{2}n-420)-1.06cos(?n-frac{?}{4})

B : 5+0.888sin(frac{?}{2}n-420)+1.06cos(?n+frac{?}{4})

C : 5+0.888sin(frac{?}{2}n-420)-1.06cos(?n+frac{?}{4})

D : 5+0.888sin(frac{?}{2}n+420)-1.06cos(?n+frac{?}{4})

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