Question

Find the exact value of${\cos }^{-1}\left(0.5\right)$

Short answer

The value of${\cos }^{-1}\left(0.5\right)$is${60}^{\circ }=\frac{\mathrm{\pi }}{3}$

Step-by-step solution

Step 1. Given Information

The given inverse trigonometric function is${\cos }^{-1}\left(0.5\right)$

Step 2. Finding solution

Let$$\begin{gathered} y={\cos }^{-1}\left(0.5\right) \\ y={\cos }^{-1}\left(\frac{1}{2}\right) \\ y={60}^{\circ } \end{gathered}$$