Create a vector and calculate the hyperbolic sine of each value.
X = [0 pi 2*pi 3*pi]; Y = sinh(X)
Y = 1×4 103 × 0 0.0115 0.2677 6.1958
Plot the hyperbolic sine over the domain .
x = -5:0.01:5; y = sinh(x); plot(x,y) grid on
The hyperbolic sine satisfies the identity . In other words, is half the difference of the functions and . Verify this by plotting the functions.
Create a vector of values between -3 and 3 with a step of 0.25. Calculate and plot the values of
exp(-x). As expected, the
sinh curve is positive where
exp(x) is large, and negative where
exp(-x) is large.
x = -3:0.25:3; y1 = sinh(x); y2 = exp(x); y3 = exp(-x); plot(x,y1,x,y2,x,y3) grid on legend('sinh(x)','exp(x)','exp(-x)','Location','bestoutside')
X— Input angles in radians
Input angles in radians, specified as a scalar, vector, matrix, or multidimensional array.
Complex Number Support: Yes
The hyperbolic sine of an angle x can be expressed in terms of exponential functions as
In terms of the traditional sine function with a complex argument, the identity is
This function fully supports tall arrays. For more information, see Tall Arrays.
This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).
This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).