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Werbeth95
@Werbeth95
December 2019
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Calcule o seno de 105°.
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popeye1
105° = 60° + 45°
sin ( a + b ) = sin a · cos b + sin b · cos a
cos (a + b) = cos a . cos b - sen a . sen b
sen 135° = sen(60 + 45) = sen 60 · cos 45 + sen 45 · cos 60
sen 135° = sen (√3/2 + √2/2) = sen √3/2 · √2/2 + √2/2 · 1/2
sen 135° = √3/2 · √2/2 + √2/2 · 1/2
sen 135° = (√6 + √2)/4
sen 135° ≈ 0,96
Forte abraço!
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Lista de comentários
sin ( a + b ) = sin a · cos b + sin b · cos a
cos (a + b) = cos a . cos b - sen a . sen b
sen 135° = sen(60 + 45) = sen 60 · cos 45 + sen 45 · cos 60
sen 135° = sen (√3/2 + √2/2) = sen √3/2 · √2/2 + √2/2 · 1/2
sen 135° = √3/2 · √2/2 + √2/2 · 1/2
sen 135° = (√6 + √2)/4
sen 135° ≈ 0,96
Forte abraço!