BBC BASIC (Z80) has more intrinsic mathematical functions than many other versions of BASIC. Those that are not provided may be calculated as shown below.
| 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) or =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) or =LOG(X)/LOG(n) |