Determina: tan ô, sin B, cos B.
Determina: tan ô, sin B, cos B.
SIN(α) = 8/17
COS(α) = √(1 - (8/17)^2)----> COS(α) = 15/17
δ = α/2
SIN(α/2) = √((1 - COS(α))/2) = √((1 - 15/17)/2)
SIN(α/2) = √17/17
COS(α/2) = √((1 + COS(α))/2)= √((1 + 15/17)/2)
COS(α/2) = 4·√17/17
TAN(δ) = TAN(α/2) = SIN(α/2)/COS(α/2)=
=√17/17/(4·√17/17) = 1/4
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SIN(β) = SIN(pi - 2·δ)----> SIN(β) = SIN(2·δ) =
= 2·SIN(δ)·COS(δ) =2·√17/17·(4·√17/17)=
=8/17
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COS(β) = - √(1 - (8/17)^2) = - 15/17