<span><u>Answer </u>
x = 30</span>°<span> or x = (360 – 30) = 330</span>°<span> for value of (0≤x≥360)
<u>Explanation
</u> The first step is to find the anti-cosine of √3/2.
cos^(-1)〖√3/2〗=30°
So, x=30°
The values of x can be many so a limit has to be given. For one complete cycle, the values of x would be.
Since cosx is positive the value of x must have been in the first quadrant and the 4th quadrant.
So, x = 30</span>°<span> or x = (360 – 30) = 330</span>°<span> </span>