Usage Note 22134: Computing inverses of COSH, SINH, and TANH (the hyperbolic cosine, sine, and tangent)
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Beginning in SAS 9.2, you can compute the inverse of the hyperbolic sine, cosine, and tangent using the ARSINH, ARCOSH, and ARTANH functions in the DATA step, respectively. Using these functions, you can compute the inverse hyperbolic secant at x as ARCOSH(1/x), the inverse hyperbolic cosecant at x as ARSINH(1/x), and the inverse hyperbolic cotangent at x as ARTANH(1/x).
Prior to SAS 9.2, these quantities can be computed using existing SAS functions in the DATA step as shown below:
| Inverse hyperbolic sine: | log(x+sqrt(x**2+1)) |
| Inverse hyperbolic cosine: | log(x+sqrt(x**2-1)) |
| Inverse hyperbolic tangent: | 0.5*log((1+x)/(1-x)) |
where x is the SINH, COSH, or TANH value.
Operating System and Release Information
| Product Family | Product | System | SAS Release | |
| Reported | Fixed* | |||
| SAS System | Base SAS | All | n/a | |
| Type: | Usage Note |
| Priority: | low |
| Topic: | SAS Reference ==> DATA Step Analytics ==> analytics SAS Reference ==> Functions ==> Trigonometric SAS Reference ==> Functions ==> Hyperbolic |
| Date Modified: | 2002-12-16 10:56:48 |
| Date Created: | 2002-12-16 10:56:48 |