[" Que."19:" If "],[sin^(-1)(x^(2)-(x^(4))/(3)+(x^(6))/(9)........)+cos^(-1)(x^(4)-(x^(8))/(3)+(x^(42))/(9)........)=(pi)/(2)],[" where "0<=|x|

The number of values of x for which sin^(-1)(x^(2)-(x^(4))/(3)+(x^(6))/(9))+cos^(-1)(x^(4)-(x^(8))/(3)+(x^(12))/(9)..)=(pi)/(2) where ^(*)0lt=|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 sin^(-1)(x-(x^(2))/(3)+(x^(3))/(9)-...-oo)+cos^(-1)(x^(2)-(x^(3))/(3)+(x^(4))/(9)-...-oo)=(pi)/(2) where 0<|x|<3 then the value of x satisfying the equation is

The number of values of x for which sin^(-1)(x^(2)-(x^(4))/3+(x^(6))/9………)+cos^(-1)(x^(4)-(x^(8))/3+(x^(12))/9………)=(pi)/2 , where 0le|x|ltsqrt(3) , is

If sin^(-1)(x-(x^(2))/(3)+(x^(3))/(9)---)+cos^(-1)(x^(2)+(x^(3))/(3)+(x^(4))/(9)----)=(pi)/(2) where 0<|x|<3, then the value of x satisfying the equation is

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=

The number of values of x for which sin^(-1)(x^(2)-x^(4)/3+x^(6)/9…..)+cos^(-1)(x^(4)-x^(8)/3+x^(12)/9….)=pi/2," where "0 le abs(x) lt sqrt(3) , is

The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9...)+cos^(-1)(x^4-(x^8)/3+(x^(12))/9ddot)=pi/2, where 0lt=|x|

The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^(-1)(x^4-(x^8)/3+(x^(12))/9ddot)=pi/2, where 0lt=|x|

The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^(-1)(x^4-(x^8)/3+(x^(12))/9ddot)=pi/2, where 0lt=|x|