Find the angle in radians where the coordinates on the unit circle are $ left(frac{sqrt{3}}{2}, frac{1}{2}right) $
Answer 1
William King
The coordinates $ \left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right) $ on the unit circle correspond to the angle $ \frac{\pi}{6} $ radians. We can confirm this by noting that $ \cos\left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2} $ and $ \sin\left(\frac{\pi}{6}\right) = \frac{1}{2} $.
Answer 2
Samuel Scott
The angle in radians corresponding to the coordinates $ left(frac{sqrt{3}}{2}, frac{1}{2}
ight) $ is $ frac{pi}{6} $. This can be verified using the trigonometric identities $ cosleft(frac{pi}{6}
ight) = frac{sqrt{3}}{2} $ and $ sinleft(frac{pi}{6}
ight) = frac{1}{2} $.
Answer 3
Isabella Walker
The angle is $ frac{pi}{6} $ radians since $ cosleft(frac{pi}{6}
ight) = frac{sqrt{3}}{2} $ and $ sinleft(frac{pi}{6}
ight) = frac{1}{2} $.
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