Atari 800 Basic Reference Manual

Derived Functions
Secant
Cosecant
Inverse Sine
Inverse Cosine
Inverse Secant
Inverse Cosecant
Inverse Cotangent
Hyperbolic Sine
Hyperbolic Cosine
Hyperbolic Tangent
Hyperbolic Secant
Hy
perbolic Cosecant
Hyperbolic Cotangent
Inverse Hyperbolic Sine
Inverse Hyperbolic Cosine
Inverse Hyperbolic Tangent
Inv erse Hy per bolic Sec ant
Inverse Hyperbolic Cosecant
Inverse Hyperbolic Cotangent
Notes:
APPENDIX E
DERIVED
FUNCTIONS
Derived Functions in Terms of Atari Functions
SEC(X)"' 1/COS(X)
CSC(X)"' 1/SIN(X)
ARCSIN(X)
"'A TN(X/SQR( -X* X+ 1))
ARCCOS(X)"'
-A TN(X/SQR(- X* X+ 1) +CONSTANT
ARSEC(X) "'ATN{SQR(X * X-1)) + (SGN(X-1)* CONSTANT
ARCCSC(X) "'A TN(1 /SQR(X * X-1)) + (SGN(X-1) *CONSTANT
ARCCOT(X) "'A TN(X) +CONSTANT
SINH(X)"' (EXP(X)-EXP(-X))/2
COSH(X) "'(EXP(X) + EXP(-X))/2
TANH(X),-EXP(-X)/(EXP{X) +EXP(-X)) *2 + 1
SECH(X) = 2/(EXP(X) + EXP(-
X))
CSCH(X) = 2/(EXP(X)-EXP(-X))
COTH(X) = EXP(-X)/(EXP(X)-EXP(-X)}* 2 + 1
ARCSINH(X)
=LOG( X+ SQR(X *X+ 1 ))
ARCCOSH(X) + LOG(X + SQR(X * X-1))
ARCTANH(X) "'LOG((1 + X)/(1-X))/2
ARCSECH(X) =LOG((SQR(-
X* X+ 1) + 1)/X)
ARCCSCH(X) "'LOG((SGN(X) * SQR(X
*X+ 1) + 1)/X)
ARCCOTH(X) = LOG((X + 1)/(X-1))/2
1. If in RAD (default) mode, constant = 1.57079633
If in DEG mode, constant = 90.
2.
In this chart , the variable X in parentheses represents the value or expression to be evaluated by the
derived function . Obviously, any variable name is permissible, as long as it represents the number or
expression to be evaluated.
App endix E-1

Atari 800 Specifications

General

Brand	Atari
Model	800
Category	Desktop
Language	English