asinh

asinh

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Calculates the inverse hyperbolic sine of a number

 include <math.h> double asinh ( double x  ); float asinhf ( float x  ); long double asinhl ( long double x  ); 

The asinh( ) functions return the number whose hyperbolic sine is equal to the argument x.

Example

 puts("   x          asinh(x)        log( x + sqrt(x*x+1))\n"      "-------------------------------------------------------"); for ( double x = -2.0; x < 2.1; x += 0.5)   printf("%6.2f %15f %20f\n", x, asinh(x), log( x + sqrt(x*x+1))); 

This code produces the following output:

    x          asinh(x)        log( x + sqrt(x*x+1)) -------------------------------------------------------  -2.00       -1.443635            -1.443635  -1.50       -1.194763            -1.194763  -1.00       -0.881374            -0.881374  -0.50       -0.481212            -0.481212   0.00        0.000000             0.000000   0.50        0.481212             0.481212   1.00        0.881374             0.881374   1.50        1.194763             1.194763   2.00        1.443635             1.443635 

See Also

Other hyperbolic trigonometry functions for real numbers: acosh( ), atanh( ), sinh( ), cosh( ), and tanh( ); the hyperbolic sine and inverse hyperbolic sine functions for complex numbers: csinh( ) and casinh( )