Commodore 16 User Manual page 88

BASIC EQUIVALENT FUNCTION
SECANT
COSECANT
COTANGENT
INVERSE SINE
INVERSE COSINE
INVERSE SECANT
INVERSE COSECANT
INVERSE COTANGENT
HYPERBOLIC SINE
HYPERBOLIC COSINE
HYPERBOLIC TANGENT
HYPERBOLIC SECANT
HYPERBOLIC COSECANT
HYPERBOLIC COTANGENT
INVERSE HYPERBOLIC SINE
INVERSE HYPERBOLIC COSINE
INVERSE HYPERBOLIC TANGENT
INVERSE HYPERBOLIC SECANT
INVERSE HYPERBOUC COSECANT
INVERSE HYPERBOLIC COTANGENT
SEC(x)- MOS(%)
C,SC(x)- uStN(x)
COT(x)- UTAN(X)
ARCSIN(x)=ATignoSOR(- x•x 1))
ARCCOS(X)- -ATN(x•SOR
N X•X 111.77 ,2
ARCCSC(X)-ATN(x/SOR(X•X - I ))
ARCCSC(X)=ATN(X/SOR(K• X -1))
+(RONDO-1'7722)
ARCOT(X)-ATN(X) • w/2
SINH(X)-(EXP(X)-EXP(- 012
COSH(X)=(EXP(X)- +EXP( ^ X)Y2
TANH(X)..EXPI-XY(EXP(x)a.EXP
( - X))•2+
SECH(X)s21(EXP(X)+EXP( -X))
CSCH(X).2/(E XP(X)- E XP( - X))
COTH(X)=EXP( - Xy(EXP(X)
- EXP(-)0)•2+
ARCS1NH(X)- LOGO( FSOR(X•X *1/1
ARCCOSH(X)-LOG(X4-SOR(X•X- I))
ARCTANH(x)= LOGO I ♦ Xy( I - X)y2
ARCSECH(x)-LOG8SOR
( - X*X41)+ 1}'X)
ARCCSCH(X)"LOGICSCIN(X1'SOR
(x•x+
¶)/x))
ARCCOTH(X)- LOGRX • I X - Hy2
APPENDIX C
Deriving Mathematical Functions
Functions that are not intrinsic to BASIC 3.5 may be calculated as
follows:
APPENDIX
D
Musical Note Table
NOTE
SOUND REGISTER VALUE ACTUAL FREQUENCY (HZ)
A 7 110
B 118
123.5
C
169 130.8
262 146.8
E
345 164.7
F
383 174.5
453 195.9
A 516 220.2
B
571 246.9
C
596
261.4
D
643
293.6
E
685 330
F
704 349.6
739 392.5
A 770 440.4
B
798
494.9
C
810
522.7
0 834
588.7
E
854 658
F
864 699
881 782.2
A 897 880.7
911 989.9
C
917
1045
929 1177
E
939 1316
F
944 1398
G
953 1575
The above table contains the sound regis er values of four octaves of
notes. The sound register values are used as the second parameter
of the SOUND command To use the first note in the table (A—sound
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