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sin²α + cos²α + sin²α + cos²α + 2 sinαcosα - 2 sinαcosα = 2
sin²α + cos²α + sin²α + cos²α = 2
Diketahui jika,
sin²α + cos²α = 1
Maka
sin²α + cos²α + sin²α + cos²α = 2
1+1=2
(sin α - cos α)² + (sin α + cos α)² = 2
TERBUKTI