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Find the value of $cos( heta)$ on the unit circle when $ heta = 60°$.

Answer 1

Abigail Nelson

Thomas Walker

To solve for $\cos(60°)$, we can use the unit circle, where $\theta$ represents the angle from the positive x-axis.

On the unit circle, the coordinates of a point at an angle $\theta$ are $(\cos(\theta), \sin(\theta))$.

For $\theta = 60°$, the coordinates are $(\frac{1}{2}, \frac{\sqrt{3}}{2})$. Hence, $\cos(60°) = \frac{1}{2}$.

$\cos(60°) = \frac{1}{2}$

Answer 2

Alex Thompson

Alex Thompson

Starting with the unit circle, we know that the angle $ heta = 60°$ lies in the first quadrant.

The coordinates on the unit circle for any angle $ heta$ are given by $(cos( heta), sin( heta))$.

At $ heta = 60°$, the coordinates are $(frac{1}{2}, frac{sqrt{3}}{2})$. Thus, the value of $cos(60°)$ is $frac{1}{2}$.

$cos(60°) = frac{1}{2}$

Answer 3

Amelia Mitchell

Abigail Nelson

On the unit circle, the coordinates for $ heta = 60°$ are $(frac{1}{2}, frac{sqrt{3}}{2})$. Therefore, $cos(60°) = frac{1}{2}$.

$cos(60°) = frac{1}{2}$