APPENDIX
G
DERIVED
TRIGONOMETRIC
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
(-X*X
+1))
+tt/2
ARCSEC(X)=ATN(X/SQR(X*X-1))
ARCCSC(X)=ATN(X/SQR(X*X-1))
+
(SGN(X)-1*tt/2
ARCOT(X)=ATN(X)+7r/2
•
SINH(X)=(EXP(X)-EXP(-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
ARCSINH(X)=LOG(X+SQR(X*X+1))
ARCCOSH(X)=LOG(X+SQR(X*X-1))
ARCTANH(X)=LOG((1
+X)/(1
-X))/2
ARCSECH(X)=LOG((SQR
ARCCSCH(X)=LOG((SGN(X)*SQR
(X*X+l/x)
ARCCOTH(X)=
LOG((X+1
)/(x-1
))/2
371
APPENDIX
G—Derived
Trigonometric
Functions