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sin²α + cos²α = 1
(⅓)² + cos²α = 1
cos²α = 8/9
cosα = ⅔√2
tgα = sinα/cosα
tgα = ⅓ : ⅔√2 = ⅓ × 3/2√2 = 1/2√2 = √2/4
ctgα = 1/tgα
ctgα = 2√2