If `2^(2pi//sin^(-1)x) - 2 (a + 2) 2^(pi//sin^(-1)x) + 8a lt 0` for at least one real x, then

If 2^(2pi//sin^((-1)x))-2(a+2)^(pi//sin^((-1)x))+8a<0 for at least one real x , then

0 lt a lt 2 pi , sin^(-1)(sin a ) lt x^(2)-2x for all x in I then a in

If (sin^(-1) x)^2 + (cos^(-1)x)^2 =(5pi^2)/8 then one of the values of x is

If 0lt alt 5, 0 lt blt 5 and (x^2+5)/2 = x -2 cos(a+bx) is satisfied for at least one real x then least value of (a+b)/pi is ?

If (sin^(-1)x)^(2)+(cos^(-1)x)^(2)=(5pi^(2))/(8) then x =

If sin^(- 1)(x)+sin^(- 1)(2x)=pi/3 then x=

if 6sin^(-1)(x^2 -6x + 8.5)=pi then

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

The values of x which satisfy 18(sin^(-1)x)^(2)-9pi sin^(-1)x +pi^(2)lt 0 and 18(tan^(-1)x)^(2)-9pi tan^(-1)x + pi^(2)lt 0 simultaneously are

If 2 sin^(2)(x-(pi)/(3))-5sin(x-(pi)/(3))+2lt0 , then belongs to