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Daca x∈(0, Π/2) si cosx=4/5, aratati ca sinx=3/5.

Răspuns :

Salut,

x € (0;π/2) → x € C1

cosx = 4/5.

sin²x+cos²x = 1
sin²x+16/25 = 1
sin²x = (25-16)/25
sin²x = 9/25
sin x = 3/5.


Succes! :3