Question

What is the solution to arccos 0.5 express answer in radians

Answer 1

arccos (0.5) is
`(\pi)/(3)`

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 (
`2\pi` radians), that render cosine function equal 1/2, and they are:
`(\pi)/(3)`, and
`-(\pi)/(3)`.

The arccos uses just the first one as answer over the restricted domain between 0 and
`\pi`, since otherwise it will not be considered a function.

So the answer is that the arccos (0.5) is
`(\pi)/(3)`