Another important property of cosh is that it is a smooth and continuous function, which means that it has a well-defined derivative and integral. The derivative of cosh(x) is equal to sinh(x), which is the hyperbolic sine function, and the integral of cosh(x) is equal to sinh(x) +...
Prove the following identity: sinh (x + y) = sinh x cosh y + cosh x sinh y Show that cosh x is greater than or equal to 1 + 1/2 x^2 for all x. Suppose x less than 0 and cosh (x) \frac{29}{20}. Calculate exact the hyperbolic trigonometric functions below. 1) sinh (x)...
If value is equal to NaN, NaN is returned. Examples The following example uses Cosh to evaluate certain hyperbolic identities for selected values. C# Copy Run // Example for the hyperbolic Math.Sinh( double ) // and Math.Cosh( double ) methods. using System; class SinhCosh { public ...
If x is greater than or equal to 263, or less than or equal to –263, a loss of significance in the result of a call to cos, cosf, or cosl occurs. By default, if the result is too large in a cosh, coshf, or coshl call, the function returns HUGE_VAL and sets errno to E...
x的双曲余弦值。 默认情况下,如果在cosh、coshf或coshl调用中的结果值过大,则函数返回HUGE_VAL并将errno设置为ERANGE。 输入SEH 异常_matherr异常 ± QNaN, IND无_DOMAIN x≥ 7.104760e+002INEXACT+OVERFLOWOVERFLOW 备注 由于C++ 允许重载,因此你可以调用采用并返回cosh或float值的long double重载。 在 C 程序...
If X is a fixed-point fi or scaled-double fi, then S and C have the same word length as X and fraction length equal to two less than the word length. C— Hyperbolic cosine scalar | vector | matrix | multidimensional array Hyperbolic cosine (cosh), returned as a scalar, vector, matri...
The range is that strip of the complex plane containing numbers whose imaginary part is between - pi /2 and pi /2. A number with imaginary part equal to - pi /2 is in the range if and only if its real part is non-positive; a number with imaginary part equal to pi /2 is in ...
#include <math.h> doublecosh( double x ); float coshf( float x ); (C99) long double coshl( long double x ); (C99) The hyperbolic cosine of any number x equals (ex + e−x)/2 and is always greater than or equal to 1. If the result of cosh() is too great for the double...
The hyperbolic cosine ofvalue. Ifvalueis equal toNegativeInfinityorPositiveInfinity,PositiveInfinityis returned. Ifvalueis equal toNaN,NaNis returned. Examples The following example usesCoshto evaluate certain hyperbolic identities for selected values. ...
Is cosh always a positive value? Yes, cosh values are always greater than or equal to 1. 7 What geometric interpretation can be given to cos and cosh? Cos gives the x-coordinate of a point on the unit circle corresponding to a given angle, while cosh describes the x-coordinate of a ...