Tae Kwon Do without learning a hook kick? You’d learn that before you even got your yellow belt in our system.
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It was one of the kicks, all of which we learned from the beginning, that was taught in the Hapkido I learned. But remember, I studied in the mid-60s, and there wasn't much Tae Kwon Do in the USA, at least to my knowledge. Most people had heard of Karate or perhaps Kung Fu. When I mentioned TKD to people, I usually had to tell them it was like a Korean Karate, so they had a way to understand at least a little.