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vohmyakov2009
@vohmyakov2009
July 2022
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Докажите тождество sin(2a)=sin(2b), если tga*tgb=1
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vlad82
Sin(2a)=sin(2b) -> 2sin(a)cos(a)=2sin(b)cos(b) -> sin(a)cos(a)=sin(b)cos(b)
если tg(a)=tg(b), то sin(a)*sin(b)/(cos(a)*cos(b))=1, то sin(a)*sin(b)=cos(a)*cos(b)
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vohmyakov2009
эм, почему tg(a)=tg(b)???
vohmyakov2009
и где доказательсто ведь sin(a)*sin(b)=cos(a)*cos(b) и sin(a)cos(a)=sin(b)cos(b) не равноценны
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Answers & Comments
если tg(a)=tg(b), то sin(a)*sin(b)/(cos(a)*cos(b))=1, то sin(a)*sin(b)=cos(a)*cos(b)