[" 15.If "sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-....)],[+cos^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-....)=(7)/(1)],[" Tor "0<|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)/(2)+(x^3)/(4)-...infty)+cos^(-1)(x^2-(x^4)/(2)+(x^6)/(4)-...infty)=(pi)/(2) and 0ltxltsqrt(2) , 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 and 0ltxltsqrt(2) then x=

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=

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

((2)/(3)x+4)((3)/(2)x+6)-((1)/(7)x-1)((1)/(7)x+1)

int_(-1/2)^(1/2) [sin^(-1)(3x-4x^(3)) - cos^(-1) (4x^(3)-3x)] dx =

((x-1)(x+1)(x+4)(x+6))/(7x^2+8x+4)>0

((x-1)(x+1)(x+4)(x+6))/(7x^2+8x+4)>0