[" The trigonometric equation sin "^(-1)],[x=2sin^(-1)a," has a solution for: "],[[2003]]

The trigonometric equation sin^(-1) x=2 sin^(-1) a has a solution for :

The trigonometric equation sin^(-1)x=2 sin^(-1)2a has a real solution, if

The equation sin^(-1)x=2sin^(-1)alpha has a solution

The trigonometric equation sin^-1x=2sin^-1 2a has a real solution if

The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all real values

The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all real values

If sin^(-1)x=2sin^(-1)alpha has a solution, then

The trigonometric equation sin^(-1) x = 2 sin^(-1) a has a solution for a) 1/2lt|a|lt1/sqrt2 b)All real values of a c) |a|le1//sqrt2 d) |a|ge1/sqrt2