Let x and y be two vectors (of dimension n each), where each vector has a...

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Let x and y be two vectors (of dimension n each), where each vector has a magnitude of 1. Find the relation between their Euclidean distance and cosine similarity. (You need to establish the relation mathematically and not using a particular example). You can either express the Euclidean distance in terms of the cosine similarity or the cosine similarity in terms of the Euclidean distance; but the final expression should contain only the cosine similarity, the Euclidean distance, and n. No other parameters are allowed in the final expression. Let x and y be two vectors (of dimension n each), where each vector has a magnitude of 1. Find the relation between their Euclidean distance and cosine similarity. (You need to establish the relation mathematically and not using a particular example). You can either express the Euclidean distance in terms of the cosine similarity or the cosine similarity in terms of the Euclidean distance; but the final expression should contain only the cosine similarity, the Euclidean distance, and n. No other parameters are allowed in the final expression.