sincos

Compute the sine and cosine of x expressed in radians.

sincos(x)

sincos(A::AbstractMatrix)

julia> S, C = sincos(fill(1.0, (2,2)));

julia> S
2×2 Matrix{Float64}:
 0.454649  0.454649
 0.454649  0.454649

julia> C
2×2 Matrix{Float64}:
  0.291927  -0.708073
 -0.708073   0.291927

Methods

julia> methods(sincos, (Any,), [Base, Base.Math, Base.MathConstants, Base.MPFR])# 5 methods for generic function "sincos" from Base.Math:
 [1] sincos(a::Float16)
     @ math.jl:1522
 [2] sincos(::Irrational{:π})
     @ Base.MathConstants mathconstants.jl:148
 [3] sincos(v::BigFloat)
     @ Base.MPFR mpfr.jl:746
 [4] sincos(x::T) where T<:Union{Float32, Float64}
     @ special/trig.jl:175
 [5] sincos(x)
     @ special/trig.jl:206

Examples

Real Numbers

julia> sincos(0)
(0.0, 1.0)

julia> sincos(pi)
(0.0, -1.0)

julia> sincos(-0.0)
(-0.0, 1.0)

Complex

julia> sincos(0+0im)
(0.0 + 0.0im, 1.0 - 0.0im)

Tips

See Also

Extended Inputs

Matrix

With Array like input:

julia> methods(sincos, (Any,), [LinearAlgebra])# 4 methods for generic function "sincos" from Base.Math:
 [1] sincos(A::Hermitian{var"#s5029", S} where {var"#s5029"<:Complex, S<:(AbstractMatrix{<:var"#s5029"})})
     @ LinearAlgebra /opt/hostedtoolcache/julia/1.11.5/x64/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetric.jl:791
 [2] sincos(A::Union{Hermitian{var"#s5029", S}, Symmetric{var"#s5029", S}} where {var"#s5029"<:Real, S})
     @ LinearAlgebra /opt/hostedtoolcache/julia/1.11.5/x64/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetric.jl:782
 [3] sincos(A::AbstractMatrix{<:Real})
     @ LinearAlgebra /opt/hostedtoolcache/julia/1.11.5/x64/share/julia/stdlib/v1.11/LinearAlgebra/src/dense.jl:1089
 [4] sincos(A::AbstractMatrix{<:Complex})
     @ LinearAlgebra /opt/hostedtoolcache/julia/1.11.5/x64/share/julia/stdlib/v1.11/LinearAlgebra/src/dense.jl:1100

Tech Notes

• sincos(::Real): by pure julia
• sincos(::BigFloat): by MPFR

Version History

Introduced in Julia v1.0 (2018)

External Links