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L = (tg²α - sin²α) × ctg²α = (tg²α - sin²α) × (1/tg²α) = 1 - sin²α/tg²α = 1 - sin²α/(sin²α/cos²α) = 1 - (sin²α × cos²α)/sin²α = 1 - cos²α = sin²α = P
Równość ta jest tożsamością.