Find the value of $ sin( heta) $ and $ cos( heta) $ at different points on the unit circle
Answer 1
Maria Rodriguez
To find the value of $ \sin(\theta) $ and $ \cos(\theta) $ at different points on the unit circle, consider the following angles:
1. $\theta = \frac{\pi}{6}$:
$ \sin \left( \frac{\pi}{6} \right) = \frac{1}{2}, \quad \cos \left( \frac{\pi}{6} \right) = \frac{\sqrt{3}}{2} $
2. $\theta = \frac{\pi}{4}$:
$ \sin \left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2}, \quad \cos \left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $
3. $\theta = \frac{\pi}{3}$:
$ \sin \left( \frac{\pi}{3} \right) = \frac{\sqrt{3}}{2}, \quad \cos \left( \frac{\pi}{3} \right) = \frac{1}{2} $
Answer 2
Lucas Brown
Consider the following angles to find the values of $ sin( heta) $ and $ cos( heta) $ on the unit circle:
1. $ heta = frac{pi}{6}$:
$ sin left( frac{pi}{6}
ight) = frac{1}{2}, quad cos left( frac{pi}{6}
ight) = frac{sqrt{3}}{2} $
2. $ heta = frac{pi}{4}$:
$ sin left( frac{pi}{4}
ight) = frac{sqrt{2}}{2}, quad cos left( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
3. $ heta = frac{pi}{3}$:
$ sin left( frac{pi}{3}
ight) = frac{sqrt{3}}{2}, quad cos left( frac{pi}{3}
ight) = frac{1}{2} $
Answer 3
Joseph Robinson
To find the values of $ sin( heta) $ and $ cos( heta) $ for specific angles on the unit circle:
1. $ heta = frac{pi}{6}$:
$ sin left( frac{pi}{6}
ight) = frac{1}{2}, quad cos left( frac{pi}{6}
ight) = frac{sqrt{3}}{2} $
2. $ heta = frac{pi}{4}$:
$ sin left( frac{pi}{4}
ight) = frac{sqrt{2}}{2}, quad cos left( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
3. $ heta = frac{pi}{3}$:
$ sin left( frac{pi}{3}
ight) = frac{sqrt{3}}{2}, quad cos left( frac{pi}{3}
ight) = frac{1}{2} $
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