Answer:
arccos (0.5) is [tex]\frac{\pi}{3}[/tex]
Step-by-step explanation:
With the arccos(0.5) in this problem, you are asked which angle renders its cosine equal to 0.5 (or 1/2).
Recall that there are special angles in the unitary circle that render well know values like 1/2. There are two angle values between 0 and the full circle ([tex]2\pi[/tex] radians), that render cosine function equal 1/2, and they are: [tex]\frac{\pi}{3}[/tex], and [tex]-\frac{\pi}{3}[/tex].
The arccos uses just the first one as answer over the restricted domain between 0 and [tex]\pi[/tex], since otherwise it will not be considered a function.
So the answer is that the arccos (0.5) is [tex]\frac{\pi}{3}[/tex]
