Oblicz ile wynosi cosinus alfa jesli sin alfa = 1/2 Pilne:)
sin²α+cos²α=1
cos²α=1-sin²α
cos²α=1-(1/2)²
cos²α=1-1/4
cos²α=3/4
cos²α-3/4=0
(cosα-√3/2)(cosα+√3/2)=0
cosα=-√3/2 v cosα=√3/2
zad
sinα=½
oblicz:cosα
(½)²+cos²α=1
¼+cos²α=1
cos²α=1-¼
cos²α=¾
cosα=√3/2 ∨ cosα=-√3/2
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sin²α+cos²α=1
cos²α=1-sin²α
cos²α=1-(1/2)²
cos²α=1-1/4
cos²α=3/4
cos²α-3/4=0
(cosα-√3/2)(cosα+√3/2)=0
cosα=-√3/2 v cosα=√3/2
zad
sinα=½
oblicz:cosα
sin²α+cos²α=1
(½)²+cos²α=1
¼+cos²α=1
cos²α=1-¼
cos²α=¾
cosα=√3/2 ∨ cosα=-√3/2