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Commodore Plus 4
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_
SECTION
10
Functions
that
are
not
intrinsic
to
BASIC
3.5
may
be
calculated
as
follows:
Deriving
Mathematical
Functions
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
HYPERBOLIC
COSECANT
INVERSE
HYPERBOLIC
COTANGENT
BASIC
EQUIVALENT
SEC(X)
=
1/COS(X)
CSC(X)
=
1/SIN(X)
COT(X)
=
1/TAN(X]
ARCSIN(X)-ATN(X/SQR(
X"X
+
1))
ARCCOS(X)=
-ATN(X/SQR
ARCSEC(X)
=
ATN(X'SQR{X"X-1)|
ARCCSC(X)=ATN(X'SQR(X"X-1))
+(SGN(X)-fW2)
ARCOT(X}=ATN<XHt7/2
SINH(X)
=
(EXP(X)-EXPf-X})/2
COSH(X}=(EXP(X)
=
+
EXP(-X))/2
TANH(X) =
EXP(-X)/(EXP(x)+EXP
SECH(X)=2/(EXP(X)
+
EXP(-X))
CSCH(X)=2/(EXP(X)-EXP(-X))
COTH(X)=EXP(-X)/(EXP(X)
-EXP(-X))"2
+
1
ARCSINHtXj^LOGIX
+
SQRfX'X+i)]
ARCCOSH(X)=LOG(X
+
SQR(X*X-1)}
ARCTANH(X)
=
LOG((1-t-X)/(1-X))/2
ARCSECH(X)
=
LOG((SQR
ARCCSCH(X)-LOG((SGN(X)"SQR
(x
x
+
1
)/x))
ARCCOTH{X)
=
LOG((X+1
)/(x
-
1
))/2
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L
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203

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