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Find the sine and cosine of the angle when the point is ( left( frac{1}{2}, frac{sqrt{3}}{2}
ight) ) on the unit circle

Answer 1

Abigail Nelson

Lucas Brown

The coordinates \( \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) \) on the unit circle represent the cosine and sine of an angle:

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

The angle in radians corresponding to these values is:

$\theta = \frac{\pi}{3}$

Answer 2

Alex Thompson

Mia Harris

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

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

$sin( heta) = frac{sqrt{3}}{2}$

The angle is:

$ heta = frac{pi}{3}$

Answer 3

Amelia Mitchell

Maria Rodriguez

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

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

$sin( heta) = frac{sqrt{3}}{2}$