If |x| le 1, then 2 tan-1x + sin-1 ((2x/1+x2)) is equal to

Question

If |x| le 1, then 2 tan-1x + sin-1 ((2x/1+x2)) is equal to (A) 4 tan-1x (B) 0 (C) π/2 (D) π

Tardigrade Admin · Accepted Answer

2 tan-1x + sin-1 (2x/1+x2) =2tan-1x+2tan-1x=4tan-1x

Q. If $∣ x ∣ \leq 1$ , then $2 t a n^{- 1} x + s i n^{- 1} (\frac{2 x}{1 + x ^{2}})$ is equal to