cot
Compute the cotangent of x
expressed in radians.
Base.Math.cot
— Functioncot(x)
Compute the cotangent of x
, where x
is in radians.
cot(A::AbstractMatrix)
Compute the matrix cotangent of a square matrix A
.
Methods
julia> methods(cot, (Any,), [Base, Base.Math, Base.MathConstants, Base.MPFR])
# 2 methods for generic function "cot" from Base.Math: [1] cot(::Irrational{:π}) @ Base.MathConstants mathconstants.jl:150 [2] cot(z::Number) @ special/trig.jl:1135
Examples
julia> using UnicodePlots
julia> lineplot(-2π, 2π, cot, xlim=(-7, 7), ylim=(-4, 4))
┌────────────────────────────────────────┐ 4 │⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ cot(x) │⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ │⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡏⡆⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀│ │⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀│ │⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⡇⢣⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀│ │⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⡇⠈⡆⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀│ │⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⡇⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀│ f(x) │⠤⠤⠤⠤⠤⠬⠦⡤⠤⠤⠤⠤⠤⠤⠬⠦⡤⠤⠤⠤⡧⠤⠤⠬⠦⡤⠤⠤⠤⠤⠤⠤⠬⠦⡤⠤⠤⠤⠤⠤│ │⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⡇⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀│ │⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⡇⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀│ │⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⡇⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀│ │⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀│ │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠸⡀⡇⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀│ │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀│ -4 │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀│ └────────────────────────────────────────┘ ⠀-7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀7⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀x⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Real Numbers
julia> cot(0)
Inf
julia> cot(-0.0)
-Inf
julia> cot(pi)
-Inf
julia> cot(pi/2)
6.123233995736766e-17
julia> cot(pi/4)
1.0000000000000002
Complex
julia> cot(0+0im)
NaN + NaN*im
Tips
See Also
Extended Inputs
Matrix
With Array
like input:
julia> methods(cot, (Any,), [LinearAlgebra])
# 3 methods for generic function "cot" from Base.Math: [1] cot(J::UniformScaling) @ LinearAlgebra /opt/hostedtoolcache/julia/1.11.5/x64/share/julia/stdlib/v1.11/LinearAlgebra/src/uniformscaling.jl:173 [2] cot(D::Diagonal) @ LinearAlgebra /opt/hostedtoolcache/julia/1.11.5/x64/share/julia/stdlib/v1.11/LinearAlgebra/src/diagonal.jl:802 [3] cot(A::AbstractMatrix{T}) where T @ LinearAlgebra /opt/hostedtoolcache/julia/1.11.5/x64/share/julia/stdlib/v1.11/LinearAlgebra/src/dense.jl:1348
Tech Notes
- Implemented in terms of
tan
:cot(x) = inv(tan(x))
Version History
Introduced in Julia v1.0 (2018)