Apple II Statement SYNTAX/FUNCTION Example SGN, Print Sgnx, Statement SYNTAX/FUNCTION Example SIN

Note that (B-A)*RND(1)+A will generate a random number between A and B.

STATEMENT	SYNTAX/FUNCTION	EXAMPLE
SGN	SGN (expression)	230 PRINT SGN(X)
	Gives 1. If X>0, 0 if X=0, and -1 if
	X<0.
STATEMENT	SYNTAX/FUNCTION	EXAMPLE
SIN	SIN (expression)	190 PRINT SIN(X)
	Gives the sine of the expression X. X is
	interpreted as being in radians. Note:
	COS(X) =SIN(X+3.14159/2) and that
	1 Radian = 180/PI degrees = 57.2958
	degrees; so that	the sine of X degrees=
	SIN(X/57.2958).
STATEMENT	SYNTAX/FUNCTION	EXAMPLE
SQR	SQR (expression)	180 PRINT SQR(X)
	Gives the square	root of the expression X.
	An FC error will	occur if X is less than zero,
STATEMENT	SYNTAX/FUNCTION	EXAMPLE
TAN	TAN (expression)	200 PRINT TAN(X)

Gives the tangent of the expression X. X is interpreted as being in radians.

DERIVED FUNCTIONS

The following functions, while not intrinsic to BASIC, can be calculated using the existing BASIC functions:

FUNCTION	FUNCTION EXPRESSED IN TERMS OF BASIC FUNCTIONS
SECANT	SEC(X) = 1/COS(X)
COSECANT	CSC(X) = 1/SIN(X)
COTANGENT	COT(X) = 1/TAN(X)
INVERSE SINE*	ARCSIN(X)	= ATN(X/SQR(-X*X+1))
INVERSE COSINE*	ARCCOS(X)	= -ATN(X/SQR(-X*X+1))+1.5708
INVERSE SECANT*	ARCSEC(X)	= ATN(SQR(X*X-1))+(SGN(X)-1)*1.5708
INVERSE COSECANT*	ARCCSC(X)	= ATN(1/SQR(X*X-1))+(SGN(X)-1)*1.5708
INVERSE COTANGENT*	ARCCOT(X)	= -ATN(X)+1.5708
HYPERBOLIC SINE	SINH(X) =	(EXP(X)-EXP(-X))/2
HYPERBOLIC COSINE	COSH(X) =	(EXP(X)+EXP(-X))/2
HYPERBOLIC TANGENT	TANH(X) =	-EXP(-X)/(EXP(X)+EXP(-X))*2+1
HYPERBOLIC SECANT	SECH(X) =	2/(EXP(X)+EXP(-X))
HYPERBOLIC COSECANT	CSCH(X) =	2/(EXP(X)-EXP(-X))
HYPERBOLIC
COTANGENT	COTH(X) =	EXP(-X)/(EXP(X)-EXP(-X))*2+1

*These functions require the user-defined ATN function. See Appendix H for details.