Appendix A. CRBasic Programming Instructions
TANH
Returns the hyperbolic tangent of an expression or value.
Syntax
x = TANH(Source)
A.7.6.2 Derived Trigonometric Functions
Table Derived Trigonometric Functions (p. 568) lists trigonometric functions that
can be derived from intrinsic trigonometric functions.
Table 138. Derived Trigonometric Functions
Function CRBasic Equivalent
Secant Sec = 1 / Cos(X)
Cosecant Cosec = 1 / Sin(X)
Cotangent Cotan = 1 / Tan(X)
Inverse Secant Arcsec = Atn(X / Sqr(X * X - 1)) + Sgn(Sgn(X) - 1) * 1.5708
Inverse Cosecant Arccosec = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * 1.5708
Inverse Cotangent Arccotan = Atn(X) + 1.5708
Hyperbolic Secant HSec = 2 / (Exp(X) + Exp(-X))
Hyperbolic Cosecant HCosec = 2 / (Exp(X) - Exp(-X))
Hyperbolic Cotangent HCotan = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))
Inverse Hyperbolic Sine HArcsin = Log(X + Sqr(X * X + 1))
Inverse Hyperbolic Cosine HArccos = Log(X + Sqr(X * X - 1))
Inverse Hyperbolic Tangent HArctan = Log((1 + X) / (1 - X)) / 2
Inverse Hyperbolic Secant HArcsec = Log((Sqr(-X * X + 1) + 1) / X)
Inverse Hyperbolic Cosecant HArccosec = Log((Sgn(X) * Sqr(X * X + 1) + 1) / X)
Inverse Hyperbolic Cotangent HArccotan = Log((X + 1) / (X - 1)) / 2
A.7.7 Arithmetic Functions
ABS
Returns the absolute value of a number. Returns a value of data type Long when
the expression is type Long.
Syntax
x = ABS(source)
Ceiling
Rounds a value to a higher integer.
Syntax
variable = Ceiling(Number)
568
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