Appendix A. CRBasic Programming Instructions
474
A.6.6 Trigonometric Functions
A.6.6.1 Derived Functions
Table Derived Trigonometric Functions (p. 474) is a list of trigonometric functions
that can be derived from functions intrinsic to CRBasic.
Table 114. 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.6.6.2 Intrinsic Functions
ACOS
Returnsthearccosineofanumber.
Syntax
x = ACOS(source)
ASIN
Returnsthearcsinofanumber.
Syntax
x = ASIN(source)
ATN
Returnsthearctangentofanumber.
Syntax
x = ATN(source)
ATN2
Returnsthearctangentofy/x.
Syntax
x = ATN(y , x)