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ShelbySlayer
@ShelbySlayer
July 2022
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sin(п/4+a)=cos(п/4-a)
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Answers & Comments
hlopushinairina
Sin(π/4+α)=cos(π/4-α);⇒
sin(π/4+α)=sin(π/2-π/2+π/4+α)=
=cos(-π/2+π/4+α)=cos(-π/4+α)=cos(π/4-α)
4 votes
Thanks 4
ShelbySlayer
решение краткое не понятно
hlopushinairina
Непонятен вопрос:1.доказать тождество?;2.найти а?Если доказать тождество,то sin(pi/2-a)=cosa,
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Answers & Comments
sin(π/4+α)=sin(π/2-π/2+π/4+α)=
=cos(-π/2+π/4+α)=cos(-π/4+α)=cos(π/4-α)