Let x(n) = A cos(ω0n + θ0) be an input sequence to an LTI system described by theimpulse response h(n). Show that the output sequenc

It seems like you accidentally cut off your question. However, I can start explaining based on what you've given.

Given an LTI (Linear Time-Invariant) system with impulse response h(n), and an input sequence x(n) = A cos(ω0n + θ0), we want to find the output sequence y(n).

The output y(n) of an LTI system is the convolution of the input x(n) with the impulse response h(n). In mathematical terms, this is expressed as:

y(n) = Σ [x(k) * h(n-k)]

where the sum is over all k.

Now, let's substitute x(k) = A cos(ω0k + θ0) into the convolution sum:

y(n) = Σ [A cos(ω0k + θ0) * h(n-k)]

This is a general expression for the output sequence y(n). To simplify further or to get a specific output sequence, we would need the specific form of h(n).

Please provide the complete question or the form of h(n) to proceed further.