# 三角與雙曲函數

本節描述用來執行三角與雙曲作業的函數。在所有函數中，引數是解析為以弧度為測量單位之角度的運算式，其中 x 應該解譯為實數。

所有角度都以弧度為測量單位。

所有函數皆可用於資料載入指令碼和圖表運算式。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### cos

x 的餘弦函數 (Cosine)。結果是介於 -1 到 1 間的數字。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)cos( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### acos

x 的反餘弦函數。只有 -1≤x≤1 時才定義此函數。結果是介於 0 到 p 間的數字。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)acos( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### sin

x 的正弦函數 (Sine)。結果是介於 -1 到 1 間的數字。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)sin( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### asin

x 的反正弦函數。只有 -1≤x≤1 時才定義此函數。結果是介於 - p/2 到 p/2 間的數字。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)asin( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### tan

x 的正切函數 (Tangent)。結果是實數。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)tan( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### atan

x 的反正切函數。結果是介於 - p/2 到 p/2 間的數字。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)atan( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### atan2

反正切函數的二維一般化。傳回起點與座標 x 與 y 表示的點之間的角度。結果是介於 - p 到 + p 間的數字。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)atan2( y,x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### cosh

x 的雙曲餘弦函數。結果是正實數。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)cosh( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### sinh

x 的雙曲正弦函數。結果是實數。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)sinh( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### tanh

x 的雙曲正切函數。結果是實數。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)tanh( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### acosh

x 的反雙曲餘弦函數。結果是正實數。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)acosh( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### asinh

x 的反雙曲正弦函數。結果是實數。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)asinh( x )

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)

#### atanh

x 的反雙曲正切函數。結果是實數。

[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)[](https://help.qlik.com/en-US/cloud-services/Subsystems/Hub/Content/Sense_Hub/Scripting/TrigonometricAndHyperbolicFunctions/trigonometric-hyperbolic-functions.htm)atanh( x )

範例：

下列指令碼載入樣本表格，然後載入值中包含已計算三角與雙曲作業的表格。

```
SampleData:
LOAD * Inline
[Value
-1
0
1];

Results:
Load *, 
cos(Value),
acos(Value),
sin(Value),
asin(Value),
tan(Value),
atan(Value),
atan2(Value, Value),
cosh(Value),
sinh(Value),
tanh(Value)
RESIDENT SampleData;

Drop Table SampleData;
```