Угол отражения = Углу падения
Тогда:
180 =90 + α + β => α = 90 - β => β = 90 - α
sin(α)/sin(β) = n2/n1 => sin(α)/sin(90-α) = n2/n1
sin(90-α) = cosα
Поэтому:
n2/n1 = sin(α)/cosα => tg(α) = n2/n1
И:
α = arctg(n2/n1)
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Answers & Comments
Угол отражения = Углу падения
Тогда:
180 =90 + α + β => α = 90 - β => β = 90 - α
sin(α)/sin(β) = n2/n1 => sin(α)/sin(90-α) = n2/n1
sin(90-α) = cosα
Поэтому:
n2/n1 = sin(α)/cosα => tg(α) = n2/n1
И:
α = arctg(n2/n1)