Atn Function

āĻ¤ā§āϰāĻŋāϕ⧋āύāĻŽāĻŋāϤāĻŋāĻ• āĻĢāĻžāĻ‚āĻļāύ āϝāĻž āϏāĻ‚āĻ–ā§āϝāĻžāϏ⧂āϚāĻ• āĻāĻ•ā§āϏāĻĒā§āϰ⧇āĻļāύ⧇āϰ āφāĻ°ā§āĻ•āĻŸā§‡āύāĻœā§‡āĻ¨ā§āϟ āĻĒā§āϰāĻĻāĻžāύ āĻ•āϰ⧇ āĻĨāĻžāϕ⧇āĨ¤ āĻĒā§āϰāĻĻāĻžāύ āĻŽāĻžāύāϟāĻŋ -Pi/2 āĻĨ⧇āϕ⧇ +Pi/2 āĻŽāĻžāύ⧇āϰ āĻŽāĻ§ā§āϝ⧇ āĻāĻ•āϟāĻŋ āĻŽāĻžāύāĨ¤

The arctangent is the inverse of the tangent function. The Atn Function returns the angle "Alpha", expressed in radians, using the tangent of this angle. The function can also return the angle "Alpha" by comparing the ratio of the length of the side that is opposite of the angle to the length of the side that is adjacent to the angle in a right-angled triangle.

Atn(side opposite the angle/side adjacent to angle)= Alpha

Syntax:


        Atn (Number As Double) As Double
    

Return value:

Double

Parameters:

Number: Any numerical expression that represents the ratio of two sides of a right triangle. The Atn function returns the corresponding angle in radians (arctangent).

āϰ⧇āĻĄāĻŋāϝāĻŧāĻžāύāϕ⧇ āĻĄāĻŋāĻ—ā§āϰ⧀āϤ⧇ āĻĒāϰāĻŋāĻŦāĻ°ā§āϤāύ āĻ•āϰāϤ⧇ āϚāĻžāχāϞ⧇, āϰ⧇āĻĄāĻŋāϝāĻŧāĻžāύāϕ⧇ ā§§ā§Žā§Ļ/āĻĒāĻžāχ āĻĻāĻŋāϝāĻŧ⧇ āϗ⧁āĻŖ āĻ•āϰāϤ⧇ āĻšāĻŦ⧇āĨ¤

degree=(radian*180)/pi

radian=(degree*pi)/180

Pi is here the fixed circle constant with the rounded value 3.14159. Pi is a Basic mathematical constant.

Error codes:

5 Invalid procedure call

Example:


        REM āύāĻŋāĻšā§‡āϰ āωāĻĻāĻžāĻšāϰāĻŖāϟāĻŋ āϏāĻŽāϕ⧋āύ⧀ āĻ¤ā§āϰāĻŋāϭ⧁āϜ āĻ—āĻŖāύāĻž āĻ•āϰāĻžāϰ āϜāĻ¨ā§āϝ
        REM āφāϞāĻĢāĻž āϕ⧋āύ⧇āϰ āĻŸā§‡āύāĻœā§‡āĻ¨ā§āϟ āĻĨ⧇āϕ⧇ āφāϞāĻĢāĻž āϕ⧋āύ:
        Sub ExampleAtn
        REM rounded Pi = 3.14159 āĻšāϞ⧋ āĻĒā§‚āĻ°ā§āĻŦāύāĻŋāĻ°ā§āϧāĻžāϰāĻŋāϤ āĻ§ā§āϰ⧁āĻŦāĻ•
        Dim d1 As Double
        Dim d2 As Double
            d1 = InputBox("Enter the length of the side adjacent to the angle: ","Adjacent")
            d2 = InputBox("Enter the length of the side opposite the angle: ","Opposite")
            Print "The Alpha angle is"; (atn (d2/d1) * 180 / Pi); " degrees"
        End Sub
    

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