The trigonometric equation `Sin^(-1)x=2Sin^(-1)a`, has a solution for

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

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

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

If the trigonometric equation tan^(-1)x=2sin^(-1)a has a solution, then the complete set of values of a is

If the trigonometric equation tan^(-1)x=2sin^(-1)a has a solution, then the complete set of values of a is

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

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

Assertion A : The equation sin^(-1)x=3sin^(-1)(a) has a solution for -1/2leale1/2 Reason : AA x in [-1,1], sin^(-1)x in [0,2pi]