Documentation/Calc Functions/ACOS/cs

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    Název funkce:

    ACOS

    Kategorie:

    Matematické

    Shrnutí:

    Calculates the inverse trigonometric cosine (arccosine or arccos) of a real number. The value returned is the principal value and lies in the range [0,π] radians.

    Syntaxe:

    ACOS(Number)

    Vrátí:

    Returns a real number in the range [0,π] that is the inverse trigonometric cosine of Number in radians.

    Argumenty:

    Number is a real number in the range [-1, 1], or a reference to a cell containing that number, whose inverse trigonometric cosine is to be calculated.

    • If Number is non-numeric, then ACOS reports a #VALUE! error.
    • If Number lies outside the range [-1, 1], then ACOS reports a #NUM! error.

    Další detaily:

    • To return the angle in degrees, use the DEGREES function.
    • Alternatively multiply by 180/PI() to convert the result from radians to degrees.

    The formula for the inverse trigonometric cosine of x is:

    [math]\displaystyle{ \arccos(x) ~=~ \frac {\pi} {2} ~-~ \sum_{n=0}^{\infty } \left ( \frac{(2n)!}{2^{2n}(n!)^2(2n+1)} \right )x^{2n+1} }[/math]

    The figure below illustrates the function ACOS.

    ACOS function

    Příklady:

    Vzorec Popis Vrátí
    =ACOS(−1) Inverse trigonometric cosine of -1. 3,14159265358979 (π)
    =ACOS(D1) where cell D1 contains the number 0.5. Inverse trigonometric cosine of 0.5. 1,0471975511966 (π/3)
    =DEGREES(ACOS(0,5)) Inverse trigonometric cosine of 0.5, converted to degrees. 60
    =ACOS(−0,5)*180/PI() Inverse trigonometric cosine of -0.5, converted to degrees. 120
    =DEGREES(ACOS(COS(RADIANS(60))) Úhel 60° se převede na radiány, vezme se jeho kosinus, pak se vypočítá inverzní kosinus této hodnoty a nakonec se výsledek převede zpět na stupně. 60

    Související funkce LibreOffice:

    ACOT

    ASIN

    ATAN

    ATAN2

    COS

    ODF standard:

    Související (nebo podobné) funkce Excelu:

    ACOS