If sin-1(x - x2/2 + x3/4 - ....) + cos-1(x2 - x4/2 + x6/4 - ....) = /2, for 0 < |x| < √2, then find x.
As we know that, if sin-1(f(x)) + cos-1(g(x)) = π/2, then
f(x) = g(x)