sinh


sinh

Calculates the hyperbolic sine of a number

 #include <math.h> double sinh ( double x  ); float sinhf ( float x  );         (C99) long double sinhl ( long double x  );         (C99) 

The sinh( ) function returns the hyperbolic sine of its argument x. If the result of sinh( ) is too great for the double type, a range error occurs.

Example

 // A chain hanging from two points forms a curve called a catenary. // A catenary is an segment of the graph of the function // cosh(k*x)/k, for some constant k. // The length along the catenary over a certain span, bounded by the // two vertical lines at x=a and x=b, is equal to sinh(k*b)/k - sinh(k*a)/k. double x, k; puts("Catenary f(x) = cosh(k*x)/k\n"      "Length along the catenary from a to b: sinh(k*b)/k - sinh(k*a)/k)\n"); puts("           f(-1.0)   f(0.0)   f(1.0)   f(2.0)   Length(-1.0 to 2.0)\n"      "-------------------------------------------------------------------"); for ( k = 0.5; k < 5; k *= 2) {   printf("k = %.1f: ", k);   for (  x = -1.0; x < 2.1; x += 1.0)     printf("%8.2f ", cosh(k*x)/k );   printf("  %12.2f\n", (sinh(2*k) - sinh(-1*k))/ k); } 

This code produces the following output:

 Catenary f(x) = cosh(k*x)/k Length along the catenary from a to b:  sinh(k*b)/k - sinh(k*a)/k)            f(-1.0)   f(0.0)   f(1.0)   f(2.0)    Length(-1.0 to 2.0) --------------------------------------------------------------------- k = 0.5:     2.26     2.00     2.26     3.09           3.39 k = 1.0:     1.54     1.00     1.54     3.76           4.80 k = 2.0:     1.88     0.50     1.88    13.65          15.46 k = 4.0:     6.83     0.25     6.83   372.62         379.44 

See Also

cosh( ), tanh( ), asinh( ), csinh( ), casinh( )



C(c) In a Nutshell
C in a Nutshell (In a Nutshell (OReilly))
ISBN: 0596006977
EAN: 2147483647
Year: 2006
Pages: 473

flylib.com © 2008-2017.
If you may any questions please contact us: flylib@qtcs.net