Add SIN function description

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

@@ -77,7 +77,7 @@ You can track the progress in this [GitHub issue](https://github.com/ironcalc/Ir
 | SERIESSUM       | <Badge type="info" text="Not implemented yet" /> | –             |
 | SEQUENCE        | <Badge type="info" text="Not implemented yet" /> | –             |
 | SIGN            | <Badge type="info" text="Not implemented yet" /> | –             |
-| SIN             | <Badge type="tip" text="Available" />          | –             |
+| SIN             | <Badge type="tip" text="Available" />          | [SIN](math_and_trigonometry/sin) |
 | SINH            | <Badge type="tip" text="Available" />          | –             |
 | SQRT            | <Badge type="tip" text="Available" />          | –             |
 | SQRTPI          | <Badge type="info" text="Not implemented yet" /> | –             |

docs/src/functions/math_and_trigonometry/sin.md

@@ -3,9 +3,41 @@ layout: doc
 outline: deep
 lang: en-US
 ---
-
-# SIN
-
+# SIN 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).
+**Note:** This draft page is under construction 🚧
 :::
+## Overview
+SIN is a function of the Math and Trigonometry category that calculates the trigonometric sine of an angle, returning a value in the range [-1, +1].
+## Usage
+### Syntax
+**SIN(<span title="Number" style="color:#1E88E5">angle</span>) => <span title="Number" style="color:#1E88E5">sin</span>**
+### Argument descriptions
+* *angle* ([number](/features/value-types#numbers), required). The angle whose sine is to be calculated, expressed in radians. To convert between degrees and radians, use the relation below. Alternatively, use the [DEGREES](/functions/math_and_trigonometry/degrees) or [RADIANS](/functions/math_and_trigonometry/radians) functions.
+$$
+1~\:~\text{degree} = \dfrac{\pi}{180} = 0.01745329252~\text{radians}
+$$
+
+### Additional guidance
+None.
+### Returned value
+SIN returns a unitless [number](/features/value-types/#numbers) that is the trigonometric sine of the specified angle.
+### Error conditions
+* In common with many other IronCalc functions, SIN propagates errors that are found in its argument.
+* If no argument, or more than one argument, is supplied, then SIN returns the [`#ERROR!`](/features/error-types.md#error) error.
+* If the value of the *angle* argument is not (or cannot be converted to) a [number](/features/value-types#numbers), then SIN returns the [`#VALUE!`](/features/error-types.md#value) error.
+* For some argument values, SIN may return a [`#DIV/0!`](/features/error-types.md#div-0) error.
+<!--@include: ../markdown-snippets/error-type-details.txt-->
+## Details
+* The SIN function utilizes the *sin()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/).
+* The figure below illustrates the output of the SIN function for angles $x$ in the range -2$\pi$ to +2$\pi$ radians.
+<center><img src="/functions/images/sine-curve.png" width="350" alt="Graph showing sin(x) for x between -2π and +2π."></center>
+
+## Examples
+[See some examples in IronCalc](https://app.ironcalc.com/?example=sin).
+
+## Links
+* For more information about trigonometric sine, visit Wikipedia's [Sine and cosine](https://en.wikipedia.org/wiki/Sine_and_cosine) page.
+* See also IronCalc's [ASIN](/functions/math_and_trigonometry/asin), [COS](/functions/math_and_trigonometry/cos) and [TAN](/functions/math_and_trigonometry/tan) functions.
+* Visit Microsoft Excel's [SIN function](https://support.microsoft.com/en-gb/office/sin-function-cf0e3432-8b9e-483c-bc55-a76651c95602) page.
+* Both [Google Sheets](https://support.google.com/docs/answer/3093447) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SIN) provide versions of the SIN function.