simplify and adding a new simplification rule does not work

[danielpporras]

I would like to simplify (2 + 4sin(x)^2 - 2cos(x)^2)/sin(x)^2 as the expression is actually equal to 6. However, simplify does not work because it does not apply the identity 1 - cos(x)^2 = sin(x)^2. I attempted to write a new rule in several ways such as @acrule 1 + -1cos(~x)^2 => sin(~x)^2 but that has not yet worked.

julia> using Symbolics
julia> @variables x
1-element Vector{Num}:
 x
julia> simplify((2 + 4sin(x)^2 - 2cos(x)^2)/sin(x)^2)
(2 + 4(sin(x)^2) - 2(cos(x)^2)) / (sin(x)^2)
julia> simplify((2 + 4sin(x)^2 - 2cos(x)^2)/sin(x)^2, @acrule 1 + -1cos(~x)^2 => sin(~x)^2)
(2 + 4(sin(x)^2) - 2(cos(x)^2)) / (sin(x)^2)