Wiedzac, ze α jest katem ostrym i ze tgα = m, oblicz sinα
tgα = m= sinα/cosα
sinα= m *cosα
cosα=sinα/m
sin^2 α / m^2 + sin^2 α = 1
sin^2 α (1/m^2 + 1) = 1
sinα = sqrt 1 / 1/m^2 +1
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tgα = m= sinα/cosα
sinα= m *cosα
cosα=sinα/m
sin^2 α / m^2 + sin^2 α = 1
sin^2 α (1/m^2 + 1) = 1
sinα = sqrt 1 / 1/m^2 +1