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