# Find the domain of $f(x)=\sqrt{cos(sinx)}+sin^{-1}\bigg(\large\frac{1+x^2}{2x}\bigg)$

(A) $R$ the set of Real Numbers.

(B) $(-1,1)$

(C) $\{-1,1\}$

(D) $[-1,1]$

Given: $f(x)=\sqrt{cos(sinx)}+sin^{-1}\bigg(\large\frac{1+x^2}{2x}\bigg)$