This is the 9763rd most frequent Korean word.
고양이의
"Of the cat" or "cat's" (possessive form).
The word '고양이의' is used in this sentence to show possession, indicating that the 모습 (appearance) belongs to the 고양이 (cat).
고양이의 모습을 보고 싶어요.
I want to see the appearance of the cat.
Here, '고양이의' again expresses possession, showing that the 털 (fur) is related to the 고양이 (cat).
고양이의 털이 부드럽다.
The cat's fur is soft.
In this context, '고양이의' depicts ownership, with the 소리 (sound) attributed to the 고양이 (cat).