The value of sin (2tan^–1 (.75)) is equal to

sin (2tan^–1 (.75))

Let, tan^–1 (.75) = θ

As, , so

Now,

sin (2tan^–1 (.75)) = sin 2θ

= 2 sin θ cos θ

So, sin (2tan^–1 (.75)) = 0.96.