Numerical on DFT: what is the DFT of the window sequence 𝑦[𝑛]=𝑥[𝑛].𝑤[𝑛]?

If 𝒘(𝒏)=𝟏/𝟐+𝟏/𝟐 𝒄𝒐𝒔[𝟐𝝅/𝑵 (𝒏−𝑵/𝟐)] what is the DFT of the window sequence 𝑦[𝑛]=𝑥[𝑛].𝑤[𝑛]? Relate the answer in terms of X(k)