Merge pull request #443 from elsaminsut/mathfunctions

docs: adds ATAN2, ASINH, ACOSH, ATANH documentation pages

docs/src/functions/math-and-trigonometry.md

@@ -13,16 +13,16 @@ You can track the progress in this [GitHub issue](https://github.com/ironcalc/Ir
 | --------------- | ---------------------------------------------- | ------------- |
 | ABS             | <Badge type="tip" text="Available" />          | –             |
 | ACOS            | <Badge type="tip" text="Available" />          | [ACOS](math_and_trigonometry/acos) |
-| ACOSH           | <Badge type="tip" text="Available" />          | –             |
+| ACOSH           | <Badge type="tip" text="Available" />          | [ACOSH](math_and_trigonometry/acosh) |
 | ACOT            | <Badge type="info" text="Not implemented yet" /> | –             |
 | ACOTH           | <Badge type="info" text="Not implemented yet" /> | –             |
 | AGGREGATE       | <Badge type="info" text="Not implemented yet" /> | –             |
 | ARABIC          | <Badge type="info" text="Not implemented yet" /> | –             |
 | ASIN            | <Badge type="tip" text="Available" />          | [ASIN](math_and_trigonometry/asin) |
-| ASINH           | <Badge type="tip" text="Available" />          | –             |
+| ASINH           | <Badge type="tip" text="Available" />          | [ASINH](math_and_trigonometry/asinh) |
 | ATAN            | <Badge type="tip" text="Available" />          | [ATAN](math_and_trigonometry/atan) |
-| ATAN2           | <Badge type="tip" text="Available" />          | –             |
-| ATANH           | <Badge type="tip" text="Available" />          | –             |
+| ATAN2           | <Badge type="tip" text="Available" />          | [ATAN2](math_and_trigonometry/atan2) |
+| ATANH           | <Badge type="tip" text="Available" />          | [ATANH](math_and_trigonometry/atanh) |
 | BASE            | <Badge type="info" text="Not implemented yet" /> | –             |
 | CEILING         | <Badge type="info" text="Not implemented yet" /> | –             |
 | CEILING.MATH    | <Badge type="info" text="Not implemented yet" /> | –             |

docs/src/functions/math_and_trigonometry/acosh.md

@@ -3,9 +3,40 @@ layout: doc
 outline: deep
 lang: en-US
 ---
+# ACOSH function
+## Overview
+ACOSH is a function of the Math and Trigonometry category that calculates the inverse hyperbolic cosine (hyperbolic arccosine) of a number, returning a non-negative value in the range [0, +∞).
+## Usage
+### Syntax
+**ACOSH(<span title="Number" style="color:#1E88E5">number</span>) => <span title="Number" style="color:#1E88E5">acosh</span>**
+### Argument descriptions
+* *number* ([number](/features/value-types#numbers), required). The value whose hyperbolic arccosine is to be calculated. The value must be greater than or equal to 1.
 
-# ACOSH
+### Additional guidance
+The hyperbolic arccosine function is defined as:
 
-::: warning
-🚧 This function is implemented but currently lacks detailed documentation. For guidance, you may refer to the equivalent functionality in [Microsoft Excel documentation](https://support.microsoft.com/en-us/office/excel-functions-by-category-5f91f4e9-7b42-46d2-9bd1-63f26a86c0eb).
-:::
+$$
+\operatorname{acosh}(x) = \ln(x + \sqrt{x^2 - 1})
+$$
+
+### Returned value
+ACOSH returns a [number](/features/value-types#numbers) in the range [0, +∞) that is the hyperbolic arccosine of the specified value, expressed in radians.
+### Error conditions
+* In common with many other IronCalc functions, ACOSH propagates errors that are found in its argument.
+* If no argument, or more than one argument, is supplied, then ACOSH returns the [`#ERROR!`](/features/error-types.md#error) error.
+* If the value of the *number* argument is not (or cannot be converted to) a [number](/features/value-types#numbers), then ACOSH returns the [`#VALUE!`](/features/error-types.md#value) error.
+* If the value of the *number* argument is less than 1, then ACOSH returns the [`#NUM!`](/features/error-types.md#num) error.
+<!--@include: ../markdown-snippets/error-type-details.txt-->
+## Details
+* The ACOSH function utilizes the *acosh()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/).
+* The figure below illustrates the output of the ACOSH function for values $x \geq 1$ in the range [0, +∞).
+<center><img src="/functions/images/hyperbolicarccosine-curve.png" width="350" alt="Graph showing acosh(x) for x ≥ 1."></center>
+
+## Examples
+[See some examples in IronCalc](https://app.ironcalc.com/?example=acosh).
+
+## Links
+* For more information about inverse hyperbolic functions, visit Wikipedia's [Inverse hyperbolic functions](https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions) page.
+* See also IronCalc's [COSH](/functions/math_and_trigonometry/cosh), [ASINH](/functions/math_and_trigonometry/asinh) and [ATANH](/functions/math_and_trigonometry/atanh) functions.
+* Visit Microsoft Excel's [ACOSH function](https://support.microsoft.com/en-us/office/acosh-function-e3992cc1-103f-4e72-9f04-624b9ef5ebfe) page.
+* Both [Google Sheets](https://support.google.com/docs/answer/3093391) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACOSH) provide versions of the ACOSH function.

docs/src/functions/math_and_trigonometry/asinh.md

@@ -4,8 +4,36 @@ outline: deep
 lang: en-US
 ---
 
-# ASINH
+# ASINH function
+## Overview
+ASINH is a function of the Math and Trigonometry category that calculates the inverse hyperbolic sine (hyperbolic arcsine) of a number, returning the hyperbolic angle expressed in radians.
+## Usage
+### Syntax
+**ASINH(<span title="Number" style="color:#1E88E5">number</span>) => <span title="Number" style="color:#1E88E5">asinh</span>**
+### Argument descriptions
+* *number* ([number](/features/value-types#numbers), required). The value whose inverse hyperbolic sine is to be calculated. 
+### Additional guidance
+The hyperbolic arcsine function is defined as:
+$$
+\operatorname{asinh}(x) = \ln\!\left(x + \sqrt{x^2 + 1}\,\right)
+$$
+### Returned value
+ASINH returns a real [number](/features/value-types#numbers) in the range (-∞, +∞) that is the hyperbolic arcsine of the specified value, expressed in radians.
+### Error conditions
+* In common with many other IronCalc functions, ASINH propagates errors that are found in its argument.
+* If no argument, or more than one argument, is supplied, then ASINH returns the [`#ERROR!`](/features/error-types.md#error) error.
+* If the value of the *number* argument is not (or cannot be converted to) a [number](/features/value-types#numbers), then ASINH returns the [`#VALUE!`](/features/error-types.md#value) error.
+<!--@include: ../markdown-snippets/error-type-details.txt-->
+## Details
+* The ASINH function utilizes the *asinh()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/).
+* The figure below illustrates the output of the ASINH function.
+<center><img src="/functions/images/hyperbolicarcsine-curve.png" width="350" alt="Graph showing asinh(x)."></center>
 
-::: warning
-🚧 This function is implemented but currently lacks detailed documentation. For guidance, you may refer to the equivalent functionality in [Microsoft Excel documentation](https://support.microsoft.com/en-us/office/excel-functions-by-category-5f91f4e9-7b42-46d2-9bd1-63f26a86c0eb).
-:::
+## Examples
+[See some examples in IronCalc](https://app.ironcalc.com/?example=asinh).
+
+## Links
+* For more information about inverse hyperbolic functions, visit Wikipedia's [Inverse hyperbolic functions](https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions) page.
+* See also IronCalc's [SINH](/functions/math_and_trigonometry/sinh), [ACOSH](/functions/math_and_trigonometry/acosh) and [ATANH](/functions/math_and_trigonometry/atanh) functions.
+* Visit Microsoft Excel's [ASINH function](https://support.microsoft.com/de-de/office/asinh-function-62b4f5b6-d9cc-4c17-9d04-aa5371806c74) page.
+* Both [Google Sheets](https://support.google.com/docs/answer/3093393) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ASINH) provide versions of the ASINH function.

docs/src/functions/math_and_trigonometry/atan2.md

@@ -4,8 +4,34 @@ outline: deep
 lang: en-US
 ---
 
-# ATAN2
+# ATAN2 function
+## Overview
+ATAN2 is a function of the Math and Trigonometry category that calculates the inverse tangent (arctangent) for the specified *x* and *y* coordinates. The arctangent returns the angle defined by the x-axis and a line defined by the origin and a point with coordinates (x,y). The returned angle is expressed in radians, in the range (-$\pi$, +$\pi$].
+## Usage
+### Syntax
+**ATAN2(<span title="Number" style="color:#1E88E5">x,y</span>) => <span title="Number" style="color:#1E88E5">atan2</span>**
+### Argument descriptions
+* *x* ([number](/features/value-types#numbers), required). Value of the x coordinate.
+* *y* ([number](/features/value-types#numbers), required). Value of the y coordinate.
+### Additional guidance
+If the returned value is positive, it represents a counterclockwise angle from the x-axis, while a negative value represents a clockwise angle.  
+ATAN2(x,y) is equivalent to ATAN(y/x), with the difference that the x argument in ATAN2 can be 0.
+### Returned value
+ATAN2 returns a number in radians in the range (-$\pi$, +$\pi$] that is the inverse tangent for the specified x and y coordinates.
+### Error conditions
+* In common with many other IronCalc functions, ATAN2 propagates errors that are found in its argument.
+* If no argument, or arguments other than 2, are supplied, then ATAN2 returns the [`#ERROR!`](/features/error-types.md#error) error.
+* If the value of either the *x* or *y* argument is not (or cannot be converted to) a [number](/features/value-types#numbers), then ATAN2 returns the [`#VALUE!`](/features/error-types.md#value) error.
+* If both *x* and *y* are equal to 0, ATAN2 returns a [`#DIV/0!`](/features/error-types.md#div-0) error.
+<!--@include: ../markdown-snippets/error-type-details.txt-->
+## Details
+* The ATAN2 function utilizes the *atan2()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/).
+## Examples
+[See some examples in IronCalc](https://app.ironcalc.com/?example=atan2).
+
+## Links
+* For more information about inverse trigonometric functions, visit Wikipedia's [Inverse trigonometric functions](https://en.wikipedia.org/wiki/Inverse_trigonometric_functions) page.
+* See also IronCalc's [ATAN](/functions/math_and_trigonometry/atan), [TAN](/functions/math_and_trigonometry/tan) and [ASIN](/functions/math_and_trigonometry/asin) functions.
+* Visit Microsoft Excel's [ATAN2 function](https://support.microsoft.com/en-us/office/atan2-function-51123ced-348c-416a-b2e2-833f7868569f) page.
+* Both [Google Sheets](https://support.google.com/docs/answer/3093468) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ATAN2) provide versions of the ATAN2 function.
 
-::: warning
-🚧 This function is implemented but currently lacks detailed documentation. For guidance, you may refer to the equivalent functionality in [Microsoft Excel documentation](https://support.microsoft.com/en-us/office/excel-functions-by-category-5f91f4e9-7b42-46d2-9bd1-63f26a86c0eb).
-:::

docs/src/functions/math_and_trigonometry/atanh.md

@@ -4,8 +4,37 @@ outline: deep
 lang: en-US
 ---
 
-# ATANH
+# ATANH function
+## Overview
+ATANH is a function of the Math and Trigonometry category that calculates the inverse hyperbolic tangent (hyperbolic arctangent) of a number in the range (-1, +1), returning the hyperbolic angle expressed in radians.
+## Usage
+### Syntax
+**ATANH(<span title="Number" style="color:#1E88E5">number</span>) => <span title="Number" style="color:#1E88E5">atanh</span>**
+### Argument descriptions
+* *number* ([number](/features/value-types#numbers), required). The value whose inverse hyperbolic tangent is to be calculated, in the range (-1,+1).
+### Additional guidance
+The hyperbolic arctangent function is defined as:
+$$
+\operatorname{atanh}(x) = \tfrac{1}{2}\,\ln\!\left(\dfrac{1+x}{1-x}\right),\quad |x| < 1
+$$
+### Returned value
+ATANH returns a real [number](/features/value-types#numbers) in the range (-∞, +∞) that is the hyperbolic arctangent of the specified value, expressed in radians.
+### Error conditions
+* In common with many other IronCalc functions, ATANH propagates errors that are found in its argument.
+* If no argument, or more than one argument, is supplied, then ATANH returns the [`#ERROR!`](/features/error-types.md#error) error.
+* If the value of the *number* argument is not (or cannot be converted to) a [number](/features/value-types#numbers), then ATANH returns the [`#VALUE!`](/features/error-types.md#value) error.
+* If the value of the *number* argument lies outside the domain (-1, +1), then ATANH returns the [`#NUM!`](/features/error-types.md#num) error.
+<!--@include: ../markdown-snippets/error-type-details.txt-->
+## Details
+* The ATANH function utilizes the *atanh()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/).
+* The figure below illustrates the output of the ATANH function.
+<center><img src="/functions/images/hyperbolicarctangent-curve.png" width="350" alt="Graph showing atanh(x)."></center>
 
-::: warning
-🚧 This function is implemented but currently lacks detailed documentation. For guidance, you may refer to the equivalent functionality in [Microsoft Excel documentation](https://support.microsoft.com/en-us/office/excel-functions-by-category-5f91f4e9-7b42-46d2-9bd1-63f26a86c0eb).
-:::
+## Examples
+[See some examples in IronCalc](https://app.ironcalc.com/?example=atanh).
+
+## Links
+* For more information about inverse hyperbolic functions, visit Wikipedia's [Inverse hyperbolic functions](https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions) page.
+* See also IronCalc's [ASINH](/functions/math_and_trigonometry/asinh), [ACOSH](/functions/math_and_trigonometry/acosh) and [TANH](/functions/math_and_trigonometry/tanh) functions.
+* Visit Microsoft Excel's [ATANH function](https://support.microsoft.com/de-de/office/atanh-function-453534d1-76a5-4f17-8c04-c3f2feee0dd5) page.
+* Both [Google Sheets](https://support.google.com/docs/answer/3093397) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ATANH) provide versions of the ATANH function.