Documentation/Calc Functions/TAN

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    Funktionsnavn:

    TAN

    Kategori:

    Matematisk

    Resume:

    Returnerer tangensen af en given vinkel (i radianer)

    Syntaks:

    TAN(Number)

    Returnerer:

    Returnerer den (trigonometriske) tangens af tallet, vinklen i radianer. Den resulterende værdi spænder fra -∞ til +∞, dvs. (-∞,+∞).

    Argumenter:

    Tallet er det reelle tal, eller en reference til en celle, der indeholder tallet, som er vinklen i radianer, hvis tangens-værdi skal beregnes.

    • If Number is non-numeric, then TAN reports a #VÆRDI! error.

    Yderligere oplysninger:

    • Formlen for en vinkels tangens er:
    Tane.png

    The formula for the trigonometric tangent of x is:

    [math]\displaystyle{ \tan(x)~=~\frac{1}{\cot(x)}~=~\frac{\sin(x)}{\cos(x)} }[/math]

    Mathematically, the tangent of any odd multiple of π/2, i.e. {......-3π/2, -π/2, π/2, 3π/2.....} is undefined. However, because of the inherent inaccuracy in representing π numerically, TAN does not report errors for arguments close to these values. You should be aware that TAN will return large positive or negative results for odd multiples of π/2.

    Figuren herunder illustrerer funktionen TAN.

    Funktionen TAN

    Eksempler:

    Formula Description Returns
    =TAN(1) Trigonometric tangent of 1 radian. 1,5574077246549
    =TAN(D1) where cell D1 contains the number -0.5. Trigonometric tangent of -½ radian. 0,54630248984379
    =TAN(PI()/4) Trigonometic tangent of π/4 radians. 1
    =TAN(RADIANER(45)) Trignometric tangent of 45°, after first converting the angle from degrees to radians. 1
    =GRADER(ARCTAN(TAN(RADIANER(60))) An angle of 60° is converted to radians, its tangent is taken, then the inverse tangent of that value is calculated, and finally the result is converted back to degrees. 60

    Beslægtede LibreOffice-funktioner:

    ARCTAN

    ARCTAN2

    COS

    COT

    CSK

    SEK

    SIN

    ODF standard:

    Section 6.16.69, Part 2

    Tilsvarende Excel-funktioner:

    TAN