# Number.Asin

## Understanding Number.Asin Function

The Number.Asin function in Power Query M returns the arcsine of a number in radians. The syntax for the function is as follows:

Number.Asin(number as any) as number

The `number` argument can be any valid numeric expression. The function returns the arcsine of the number in radians. If the number is outside the range of -1 to 1, the function returns an error.

## The M Code Behind Number.Asin Function

The M code that powers the Number.Asin function is relatively simple. It takes the input number, converts it to a decimal value and then applies the Math.Asin function to it. Here is the M code that powers the Number.Asin function:

(number as any) =>

if number >= -1 and number <= 1 then

Math.Asin(number)

else

error “Invalid argument to Number.Asin”

The code starts by checking if the input number is within the valid range of -1 to 1 using the if statement. If the number is within the valid range, the code applies the Math.Asin function to it and returns the result. If the number is outside the valid range, the code returns an error message.

## Using Number.Asin Function in Data Analysis

The Number.Asin function can be used in a variety of data analysis scenarios. For example, it can be used to calculate the sine of an angle given its opposite and hypotenuse lengths. Here is an example of how the Number.Asin function can be used in Power Query to calculate the sine of an angle:

1. Open Power Query and create a new query.

2. In the Query Editor, click on the "Add Column" tab and select "Custom Column".

3. In the "Custom Column" dialog box, enter a name for the new column and enter the following formula:

Number.Asin([Opposite] / [Hypotenuse])

4. Replace "Opposite" and "Hypotenuse" with the names of the corresponding columns in your data.

5. Click "OK" to create the new column.

The formula above calculates the arcsine of the ratio between the opposite and hypotenuse lengths of a right triangle. This can be used to calculate the sine of an angle given its opposite and hypotenuse lengths.

The Number.Asin function in Power Query M is a useful tool for calculating the arcsine of a number in radians. Its simple M code makes it easy to understand and use in data analysis scenarios. By understanding the M code behind the Number.Asin function, you can use it more effectively in your data analysis projects.

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