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when the input is x(t) = 2 + 2*cos(50*t + pi/2)

so I know that Y(w) = X(w).H(w) but I'm not sure what to do about the '2 + ' in the input.

I know that '1' transforms into 2piδ(w) frequency domain.

so does this mean that 2 becomes 4piδ(w) ? times by H(w)...?

And if so, does this mean it in x(t) is only 4pi at w = 0 ? Because the w = 50 from that input.

Alternatively I concidered 2*H(0) or 2*H(50), but I see no reason for them.

My calculation would be as follows:

% y(t) = 2*something??* + |H(50)|*2.*cos(50*t + pi/2 + <H(50) )

%

% where <H(50) = ( 10<0 / 50.99<78.69 )

% and 360 - 78.69 = 281.31 and plus pi/2 that equals 11.31 deg

% in rad that is 0.197

%

% y(t) = 2 + 0.392*cos(50*t + 0.197)

Please help asap!

Thanks