# How do you find the value for csc[cos^1 (-(sqrt{3}/2)]?

Given function is csc ${\cos}^{-} 1 \left(\frac{\sqrt{3}}{2}\right)$. Now let y= ${\cos}^{-} 1 \left(\frac{\sqrt{3}}{2}\right)$, so that cos y = $\frac{\sqrt{3}}{2}$, that would give sin y= $\frac{1}{2}$, or,csc y =2.
Given function csc ${\cos}^{-} 1 \left(\frac{\sqrt{3}}{2}\right)$ now becomes csc ${\csc}^{-} 1 2$= 2