The superposition of two waves E₁=E₀​sin(ωt) and E₂=E₀​sin(ωt+ϕ) arriving at the same point in space at the same time is:

a) 2E₀sin(ωt+2ϕ)cos(2ϕ)
b) 2E₀cos(ωt+2ϕ)cos(2ϕ)
c) 2E₀sin(ωt)cos(ϕ)
d) 2E₀sin(ωt)cos(2ϕ)
e) 2E₀sin(ωt+2ϕ)cos(ϕ)