R. T. RUSSELL

BBC BASIC (Z80) Manual

Mathematical Functions

Annex B to
BBC BASIC (Z80)

Function	Calculation
SECANT
	SEC(X)=1/COS(X)
COSECANT
	CSC(X)=1/SIN(X)
COTANGENT
	COT(X)=1/TAN(X)
Inverse SECANT
	ARCSEC(X)=ACS(1/X)
Inverse COSECANT
	ARCCSC(X)=ASN(1/X)
Inverse COTANGENT
	ARCCOT(X)=ATN(1/X) =PI/2-ATN(X)
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
Inverse Hyperbolic SIN
	ARCSINH(X)=LN(X+SQR(X*X+1))
Inverse Hyperbolic COSINE
	ARCCOSH(X)=LN(X+SQR(X*X-1))
Inverse Hyperbolic TANGENT
	ARCTANH(X)=LN((1+X)/(1-X))/2
Inverse Hyperbolic SECANT
	ARCSECH(X)=LN((SQR(-X*X+1)+1)/X)
Inverse Hyperbolic COSECANT
	ARCCSCH(X)=LN((SGN(X)*SQR(X*X+1)+1)/X
Inverse Hyperbolic COTANGENT
	ARCCOTH(X)=LN((X+1)/(X-1))/2
LOGn(X)
	LOGn(X)=LN(X)/LN(n) =LOG(X)/LOG(n)

CONTENTS

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