If sin −1(x−x22+x34+..............∞)+ cos −1(x2−x42+x64−...........∞)=π2 and 0<x<√2 then x =
If sin−1(x−x22+x34−⋯)+cos−1(x2−x42+x64−⋯)=π2 for 0 < 1x < √2, then x equals