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(sinα + cosα)² = 25/16
sin²α + 2sinαcosα + cos²α = 25/16
2sinαcosα = 25/16 - sin²α - cos²α = 25/16 - (sin²α + cos²α) = 25/16 - 1 = 9/16 (bo sin²α + cos²α = 1 - jedynka trygonometryczna)
sinαcosα = 9/16 / 2 = 9/32