Documentation/Calc Functions/TAN
TDF LibreOffice Document Liberation Project Community Blogs Weblate Nextcloud Redmine Ask LibreOffice Donate
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:
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.
Eksempler:
| Formel | Beskrivelse | Returnerer |
|---|---|---|
| =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:
ODF standard:
Relaterede (eller lignende) Excel-funktioner:
TAN