{"id":10258,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/atan2\/"},"modified":"2021-02-26T05:02:55","modified_gmt":"2021-02-26T05:02:55","slug":"atan2","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/atan2\/","title":{"rendered":"ATAN2"},"content":{"rendered":"

Syntaktyka i zasady funkcji ATAN2 w arkuszu kalkulacyjnym<\/h2>\n

Funkcja ATAN2 oblicza arkustangens (arcus tangent) ilorazu dw\u00f3ch liczb. Jest to funkcja niezb\u0119dna przy wyznaczaniu k\u0105t\u00f3w w matematyce i in\u017cynierii. Sk\u0142adnia w MS Excel i Google Sheets wygl\u0105da nast\u0119puj\u0105co:<\/p>\n

ATAN2(x, y)<\/code><\/pre>\n
    \n
  • x<\/strong> – warto\u015b\u0107 numeryczna, reprezentuj\u0105ca d\u0142ugo\u015b\u0107 przyprostok\u0105tnej przylegaj\u0105cej do k\u0105ta, po\u0142o\u017con\u0105 na osi X.<\/li>\n
  • y<\/strong> – warto\u015b\u0107 numeryczna, okre\u015blaj\u0105ca d\u0142ugo\u015b\u0107 przyprostok\u0105tnej naprzeciwko k\u0105ta, po\u0142o\u017conej na osi Y.<\/li>\n<\/ul>\n
    Przyk\u0142ad:<\/p>\n
    =ATAN2(3, 2)<\/code><\/pre>\n
    Ta formu\u0142a zwraca arcustangens stosunku 3\/2, co wynosi warto\u015b\u0107 k\u0105ta w radianach pomi\u0119dzy wektorem utworzonym przez te punkty a poziom\u0105 osi\u0105 X.<\/p>\n
    Praktyczne zastosowania<\/h2>\n
    Funkcja ATAN2 znajduje zastosowanie w r\u00f3\u017cnych scenariuszach analitycznych i obliczeniowych.<\/p>\n
    Obliczanie kierunku mi\u0119dzy dwoma punktami<\/h2>\n
    Gdy dysponujemy wsp\u00f3\u0142rz\u0119dnymi dw\u00f3ch punkt\u00f3w, mo\u017cemy u\u017cy\u0107 funkcji ATAN2, aby wyznaczy\u0107 k\u0105t pomi\u0119dzy nimi a osi\u0105 X:<\/p>\n\n\n\n
    Punkt A (x1, y1)<\/th>\nPunkt B (x2, y2)<\/th>\n<\/tr>\n
    (4,5)<\/td>\n(7,8)<\/td>\n<\/tr>\n<\/table>\n
    =ATAN2(B2 - A2, B1 - A1) * 180 \/ PI()<\/code><\/pre>\n
    Przy u\u017cyciu tej formu\u0142y, pierwszy argument ATAN2 to r\u00f3\u017cnica mi\u0119dzy warto\u015bciami y (8 – 5), a drugi to r\u00f3\u017cnica mi\u0119dzy warto\u015bciami x (7 – 4). Wynik przeliczany jest na stopnie przez pomno\u017cenie przez 180\/PI().<\/p>\n
    Obliczanie k\u0105ta dla urz\u0105dze\u0144 obrotowych<\/h2>\n
    Podczas projektowania interfejsu dla urz\u0105dze\u0144 obrotowych, kt\u00f3re obracaj\u0105 si\u0119 o okre\u015blone k\u0105ty, u\u017cyteczna mo\u017ce by\u0107 funkcja ATAN2, na przyk\u0142ad:<\/p>\n
    Pozycje joysticka: X = -1, Y = -1 =ATAN2(-1, -1) * 180 \/ PI()<\/code><\/pre>\n
    W tym przypadku funkcja zwr\u00f3ci k\u0105t w stopniach (225 stopni) dla negatywnych warto\u015bci X i Y, co jest przydatne do kontrolowania kierunku obrotu w interfejsie u\u017cytkownika.<\/p>\n
    Funkcja ATAN2 okazuje si\u0119 niezwykle przydatna w geometrii komputerowej, robotyce, nawigacji, oraz wielu innych dziedzinach technicznych, gdzie kierunki i k\u0105ty s\u0105 kluczowe.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Zwraca arcus tangens liczby na podstawie wsp\u00f3\u0142rz\u0119dnych x i y<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[423],"tags":[],"class_list":["post-10258","post","type-post","status-publish","format-standard","hentry","category-matematyczne-i-trygonometryczne"],"acf":[],"yoast_head":"\nFunkcja ATAN2 w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji ATAN2 w Excelu. 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