Simplify

Hey /sci/

I was wondering if any of you could help me simplify:
sin⁡(2 csc^(-1)⁡x)

t = arcsec(x)
Sec(t) = x
Cos(t) = 1/x

Sin(t)^2 + Cos(t)^2 = 1
Sin(t) = sqrt[1-cos(t)^2]
Sin(t) = sqrt(1 - 1/x^2)
Sin(t) = sqrt(x^2 - 1)/x

sin(2t) = 2*Cos(t)*Sin(t)
sin(2t) = 2*sqrt(x^2 - 1)/x^2