Find the angle in radians for a point on the unit circle where the $x$-coordinate is $frac{1}{2}$
Answer 1
Thomas Walker
To find the angle $\theta$ in radians for a point on the unit circle where the $x$-coordinate is $\frac{1}{2}$, we consider the cosine function:
$\cos(\theta) = \frac{1}{2}$
The angles that satisfy this equation are:
$\theta = \frac{\pi}{3}$ and $\theta = -\frac{\pi}{3}$ or equivalently $\theta = \frac{5\pi}{3}$
Answer 2
John Anderson
Given the $x$-coordinate is $frac{1}{2}$, the angle $ heta$ on the unit circle must satisfy:
$cos( heta) = frac{1}{2}$
This occurs at:
$ heta = frac{pi}{3}$ or $ heta = frac{5pi}{3}$
Answer 3
Olivia Lee
To find the angle $ heta$ where $cos( heta) = frac{1}{2}$:
$ heta = frac{pi}{3}$ or $ heta = frac{5pi}{3}$
Start Using PopAi Today