Question

The value of sin (2 tan^-1(0.75)) is equal to

(a) 0.75 (b) 1.5 (c) 0.96 (d) sin 1.5

Answer 1

(c) 0.96

sin (2tan^–1 (.75))

Let, tan^–1 (.75) = θ

Now,

sin (2tan^–1 (.75)) = sin 2θ

= 2 sin θ cos θ

So, sin (2tan^–1 (.75)) = 0.96.