Home > Resources > Homework > Math > Unit Circle

Determine the cosine of an angle corresponding to the point $ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $ on the unit circle.

Answer 1

Abigail Nelson

Matthew Carter

To determine the cosine of the angle corresponding to the point $ \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) $ on the unit circle, we must recognize the coordinates $(x, y)$ represent $(\cos(\theta), \sin(\theta))$.

In this case, the point is:

$( \cos(\theta), \sin(\theta) ) = \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right)$

Thus, the cosine of the angle is:

$ \cos(\theta) = \frac{1}{2} $

Answer 2

Alex Thompson

Abigail Nelson

To find the cosine of the angle at the point $ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
on the unit circle, we know that:

$( cos( heta), sin( heta) ) = left( frac{1}{2}, frac{sqrt{3}}{2}
ight)$

Therefore, the cosine of the angle is:

$ cos( heta) = frac{1}{2} $

Answer 3

Amelia Mitchell

Ella Lewis

Given the point $ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
on the unit circle:

$ cos( heta) = frac{1}{2} $