If `sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-.....)=pi/2` for `0 lt |x| lt sqrt2` then `x=`

sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-...)+cos^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-...*)=(pi)/(2) for 0<|x|

If cos^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-…)" "+sin^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-….)=(pi)/(2) 0le |x| lt sqrt2 , then x is equal to

If cot^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-…………..)+tan^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-……..)=(pi)/(2)" for "0lt |x| lt sqrt2 , then x is equal to

If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 there 0 lt 1xx1ltsqrt2 , then x equals

For 0le|x|lesqrt(2) , if cos^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-…)+sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4))-…)=(pi)/(2) , then x=