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APPENDIX G

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DERIVED TRIGONOMETRIC FUNCTIONS

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FUNCTION BASIC EQUIVALENT
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))+{pi}/2
INVERSE SECANT ARCSEC(X)=ATN(SQR(X*X-1))
INVERSE COSECANT ARCCSC(X)=ATN(1/SQR(X*X-1))
INVERSE COTANGENT ARCCOT(X)=ATN(1/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)+EXP(-X))
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 SINE ARCSINH(X)=LOG(X+SQR(X*X+1))
INVERSE HYPERBOLIC COSINE ARCCOSH(X)=LOG(X+SQR(X*X-1))
INVERSE HYPERBOLIC TANGENT ARCTANH(X)=LOG((1+X)/(1-X))/2
INVERSE HYPERBOLIC SECANT ARCSECH(X)=LOG(SQR(-X*X+1)+1)/X)
INVERSE HYPERBOLIC COSECANT ARCCSCH(X)=LOG((SGN(X)*SQR(X*X+1)+1/X)
INVERSE HYPERBOLIC COTANGENT ARCCOTH(X)=LOG((X+1)/(X-1))/2

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