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))/(9)..)=(pi)/(2) where ^(*)0lt=|x|

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=

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

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

The values of 'a' for which 4^(x)-(a-4)2^(x)+(9a)/(4)<0AA x in(1,2) is

((2x-1)(x+3)(2-x)(1-x)^(2))/(x^(4)(x+6)(x-9)(2x^(2)+4x+9))<0

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

The product of all values of x satisfying the equation sin^(-1)cos((2x^(2)+10|x|+4)/(x^(2)+5|x|+3))=cot(cot^(-1)((2-18|x|)/(9|x|)))+(pi)/(2)is9(b)-9(c)-3(d)-1