APPENDIX G

DERIVED TRIGONOMETRIC FUNCTIONS

+------------------------------+------------------------------------------+
|          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            |
+------------------------------+------------------------------------------+