To find: value of x

Formula Used:

Given:

LHS = cos(2sin^-1 x)

Let θ = sin^-1 x

So, x = sin θ … (1)

LHS = cos(2θ)

= 1 – 2sin² θ

Substituting in the given equation,

Substituting in (1),

Therefore, are the required values of x.