In your terms, Tangent is y/x. Cotangent is x/y.
Take a step up a slope at a particular angle. Sine is how far you moved up, “rise”. Cosine is how far you moved horizontally, “run”. Tangent is rise divided by run; this is a common way of describing a slope — how much your altitude changes if you move a given distance horizontally. Cotangent is run divided by rise (just 1 over the tangent)
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