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

Trigonometry functions for working with values such as cosines, tangents and secants in VBA and VB6.

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

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