Pifago rova Pitago rova 1 trigonometri chna totozhniststverdzhuye sho dlya dovilnogo kuta A displaystyle A sin 2 A cos 2 A 1 displaystyle sin 2 A cos 2 A 1 Cyu totozhnist nazivayut takozh trigonometrichnoyu odiniceyu Pryamokutnij trikutnikDovedennya red c a 2 b 2 displaystyle c sqrt a 2 b 2 nbsp sin A a c a a 2 b 2 displaystyle sin A frac a c frac a sqrt a 2 b 2 nbsp cos A b c b a 2 b 2 displaystyle cos A frac b c frac b sqrt a 2 b 2 nbsp sin 2 A cos 2 A a c 2 b c 2 a a 2 b 2 2 b a 2 b 2 2 a a 2 b 2 a a 2 b 2 b a 2 b 2 b a 2 b 2 a 2 a 2 b 2 2 b 2 a 2 b 2 2 a 2 a 2 b 2 b 2 a 2 b 2 a 2 b 2 a 2 b 2 1 displaystyle begin matrix sin 2 A cos 2 A amp amp left frac a c right 2 left frac b c right 2 amp amp left frac a sqrt a 2 b 2 right 2 left frac b sqrt a 2 b 2 right 2 amp amp left frac a sqrt a 2 b 2 times frac a sqrt a 2 b 2 right left frac b sqrt a 2 b 2 times frac b sqrt a 2 b 2 right amp amp frac a 2 left sqrt a 2 b 2 right 2 frac b 2 left sqrt a 2 b 2 right 2 amp amp frac a 2 a 2 b 2 frac b 2 a 2 b 2 amp amp frac a 2 b 2 a 2 b 2 amp amp 1 end matrix nbsp abosin 2 A cos 2 A a c 2 b c 2 a c a c b c b c a 2 c 2 b 2 c 2 a 2 b 2 c 2 a 2 b 2 a 2 b 2 2 a 2 b 2 a 2 b 2 1 displaystyle begin matrix sin 2 A cos 2 A amp amp left frac a c right 2 left frac b c right 2 amp amp left frac a c times frac a c right left frac b c times frac b c right amp amp frac a 2 c 2 frac b 2 c 2 amp amp frac a 2 b 2 c 2 amp amp frac a 2 b 2 left sqrt a 2 b 2 right 2 amp amp frac a 2 b 2 a 2 b 2 amp amp 1 end matrix nbsp Primitki red 123 Bukvospoluchennya th u slovah greckogo pohodzhennya Ukrayinskij pravopis 2019 Arhiv originalu za 17 veresnya 2019 Procitovano 2 lyutogo 2021 Div takozh red Trigonometrichni funkciyiCya stattya ne mistit posilan na dzherela Vi mozhete dopomogti polipshiti cyu stattyu dodavshi posilannya na nadijni avtoritetni dzherela Material bez dzherel mozhe buti piddano sumnivu ta vilucheno berezen 2014 nbsp Ce nezavershena stattya z matematiki Vi mozhete dopomogti proyektu vipravivshi abo dopisavshi yiyi Otrimano z https uk wikipedia org w index php title Trigonometrichna totozhnist Pifagora amp oldid 40236941
