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
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
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
At the point ( left( frac{1}{2}, frac{sqrt{3}}{2}
ight) ) on the unit circle:
$cos( heta) = frac{1}{2}$
$sin( heta) = frac{sqrt{3}}{2}$
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