I am baffled with how to write the two roots of arcSin(x)(x) in the range [0,2π][0,2π], while x∈[−1,1]x∈[−1,1], such that one root can be directly calculated in terms of the other root.
For instance, we can write the two roots of arcCos(x)(x) in the range [0,2π][0,2π],while x∈[−1,1]x∈[−1,1], as θ1=arccos(x)θ1=arccos(x), and θ2=2π−θ1θ2=2π−θ1.
But how to do that for arccos(x)arccos(x) ?