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# Module: MathTrigonometry in Category General VBA/VB6 : Math from Total Visual SourceBook

## Procedure List

 Procedure Name Type Description (Declarations) Declarations Declarations and private variables for the modMathTrigonometry module ArcCoSecant Procedure Get the inverse cosecant of the supplied number. ArcCosine Procedure Get the arc cosine of the supplied radians. ArcCoTangent Procedure Get the inverse cotangent of the supplied number. ArcSecant Procedure Get the inverse secant of the supplied number. ArcSine Procedure Get the inverse sine of the supplied number. ArcTangent Procedure Get the inverse tangent of the supplied numbers. Note that passing zero for both parameters returns a Null value, and causes an "Invalid Use of Null" error. Cosecant Procedure Get the cosecant of the supplied radians. Note that sin(Radians) cannot equal zero. This can happen if dblRadians is a multiple of PI. In this case, the function returns a Null value, and causes an "Invalid Use of Null" error. Cotangent Procedure Get the cotangent of the supplied radians. The function is undefined if input value is a multiple of PI. HyperbolicArcCosecant Procedure Get the Inverse Hyperbolic Cosecant of the supplied number. HyperbolicArcCosine Procedure Get the Inverse Hyperbolic Cosine of the supplied number. HyperbolicArcCotangent Procedure Get the Inverse Hyperbolic Tangent of the supplied number. Undefined if dblIn is 1. HyperbolicArcSecant Procedure Get the Inverse Hyperbolic Secant of the supplied number. HyperbolicArcSine Procedure Get the Inverse Hyperbolic Sine of the supplied number. HyperbolicArctan Procedure Get the Inverse Hyperbolic Tangent of the supplied number. The return value is undefined if input value is 1. HyperbolicCosecant Procedure Get the Hyperbolic Cosecant of the supplied number. HyperbolicCosine Procedure Get the Hyperbolic Cosine of the supplied number. HyperbolicCotangent Procedure Get the Hyperbolic CoTangent of the supplied number. HyperbolicSecant Procedure Get the Hyperbolic Secant of the supplied number. HyperbolicSine Procedure Get the Hyperbolic Sine of the supplied number. HyperbolicTangent Procedure Get the Hyperbolic Tangent of the supplied number. Log10 Procedure Get log base 10. The power 10 must be raised to equal a given number. Log Base 10 is defined as this: x = log(y) where y = 10 ^ x Log2 Procedure Get log base 2. The power 2 must be raised to equal a given number. Log base 2 is defined as this: x = log(y) where y = 2 ^ x LogN Procedure Get log base N. The power N must be raised to equal a given number. Log base N is defined as this: x = log(y) where y = N ^ x Secant Procedure Get the secant of the supplied radians.

## Example Code for Using Module: MathTrigonometry

```' Example of modMathTrigonometry
'
' To use this example, create a new module and paste this code into it.
' Then run the procedure by putting the cursor in the procedure and pressing:
'    F5 to run it, or
'    F8 to step through it line-by-line (see the Debug menu for more options)

Private Sub Example_modMathTrigonometry()
' Comments: Example of using the modMathTrigonometry module to calculate Trigonometry functions in VBA and VB6.
'           See the results in the Immediate Window.

Dim dbl1 As Double
Dim dbl2 As Double
Dim n As Integer

dbl1 = 4.012
dbl2 = 5.034

Debug.Print "ArcCoSecant(): with input of " & dbl1 & " returned " & ArcCoSecant(dbl1)

dbl1 = 0.0000943
Debug.Print "ArcCosine(): with input of " & dbl1 & " returned " & ArcCosine(dbl1)

Debug.Print "ArcCotangent(): with input of " & dbl1 & " returned " & ArcCoTangent(dbl1)

dbl1 = 4.012
Debug.Print "ArcSecant(): with input of " & dbl1 & " returned " & ArcSecant(dbl1)

dbl1 = 0.0000943
Debug.Print "ArcSine(): with input of " & dbl1 & " returned " & ArcSine(dbl1)

Debug.Print "ArcTangent(): with input of " & dbl1 & " returned " & ArcTangent(dbl1, dbl2)

Debug.Print "CoSecant(): with input of " & dbl1 & " returned " & Cosecant(dbl1)

Debug.Print "CoTangent(): with input of " & dbl1 & " returned " & Cotangent(dbl1)

Debug.Print "HyperbolicArcCosecant(): with input of " & dbl1 & " returned " & HyperbolicArcCosecant(dbl1)

dbl1 = 4.012
Debug.Print "HyperbolicArcCosine(): with input of " & dbl1 & " returned " & HyperbolicArcCosine(dbl1)

Debug.Print "HyperbolicArcCotangent(): with input of " & dbl1 & " returned " & HyperbolicArcCotangent(dbl1)

dbl1 = 0.0000943
Debug.Print "HyperbolicArcSecant(): with input of " & dbl1 & " returned " & HyperbolicArcSecant(dbl1)

Debug.Print "HyperbolicArcSine(): with input of " & dbl1 & " returned " & HyperbolicArcSine(dbl1)

Debug.Print "HyperbolicArctan(): with input of " & dbl1 & " returned " & HyperbolicArctan(dbl1)

Debug.Print "HyperbolicCosecant(): with input of " & dbl1 & " returned " & HyperbolicCosecant(dbl1)

Debug.Print "HyperbolicCosine(): with input of " & dbl1 & " returned " & HyperbolicCosine(dbl1)

Debug.Print "HyperbolicCotangent(): with input of " & dbl1 & " returned " & HyperbolicCotangent(dbl1)

Debug.Print "HyperbolicSecant(): with input of " & dbl1 & " returned " & HyperbolicSecant(dbl1)

Debug.Print "HyperbolicSine(): with input of " & dbl1 & " returned " & HyperbolicSine(dbl1)

Debug.Print "HyperbolicTangent(): with input of " & dbl1 & " returned " & HyperbolicTangent(dbl1)

Debug.Print "Secant(): with input of " & dbl1 & " returned " & Secant(dbl1)
Debug.Print

' Displays to the immediate window log values.
' Every unit increase represents a power of 10.
Debug.Print "Log Base 10 of 1 is " & Log10(1)
Debug.Print "Log Base 10 of 10 is " & Log10(10)
Debug.Print "Log Base 10 of 100 is " & Log10(100)
Debug.Print "Log Base 10 of 5 is " & Log10(5)
Debug.Print "2 ^ " & Log10(5) & " = 5"
Debug.Print

' Displays to the immediate window log values.
' Every unit increase represents a power of 2.
Debug.Print "Log Base 2 of 1 is " & Log2(1)
Debug.Print "Log Base 2 of 2 is " & Log2(2)
Debug.Print "Log Base 2 of 4 is " & Log2(4)
Debug.Print "Log Base 2 of 5 is " & Log2(5)
Debug.Print "2 ^ " & Log2(5) & " = 5"
Debug.Print

' Displays to the immediate window log values.
' Every unit increase represents a power of 10.
For n = 2 To 10
Debug.Print "Log Base " & n & " of 10 is " & LogN(10, n)
Next n

End Sub
```

## Overview of Total Visual SourceBook

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