cosc
Compute the cosc(x)
function, the derivative of sinc(x)
, where x
expressed in radians.
Returns:
\[\begin{cases} \frac{\cos(\pi x)}{x}-\frac{\sin(\pi x)}{\pi x^2}, & x \ne 0\\ 0, & x=0\\ \end{cases}\]
Base.Math.cosc
— Functioncosc(x)
Compute $\cos(\pi x) / x - \sin(\pi x) / (\pi x^2)$ if $x \neq 0$, and $0$ if $x = 0$. This is the derivative of sinc(x)
.
See also sinc
.
Methods
julia> methods(cosc, (Any,), [Base, Base.Math, Base.MathConstants, Base.MPFR])
# 1 method for generic function "cosc" from Base.Math: [1] cosc(x::Number) @ special/trig.jl:1090
Examples
Real Numbers
julia> cosc(0)
-0.0
julia> cosc(-0.0)
0.0
julia> cosc(1.0)
-1.0
Complex
julia> cosc(0+0im)
-0.0 + 0.0im
Tips
See Also
Extended Inputs
Tech Notes
cosc(::Real)
: by pure juliacosc(::BigFloat)
: by MPFR
Version History
Introduced in Julia v1.0 (2018)