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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.