Find the values of angles at which $ sin( heta) = frac{1}{2} $ on the unit circle
Answer 1
Daniel Carter
To find the angles $ \theta $ such that $ \sin(\theta) = \frac{1}{2} $, we need to locate where the y-coordinate on the unit circle is $ \frac{1}{2} $.
The angles that satisfy this condition are:
$ \theta = \frac{\pi}{6} + 2k\pi $ and $ \theta = \frac{5\pi}{6} + 2k\pi $
where $ k $ is any integer.
Answer 2
Lily Perez
To find the angles $ heta $ such that $ sin( heta) = frac{1}{2} $, we need to identify the angles in the unit circle with the y-coordinate $ frac{1}{2} $:
$ heta = frac{pi}{6} + 2kpi $ and $ heta = frac{5pi}{6} + 2kpi $
where $ k $ is an integer.
Answer 3
John Anderson
To find angles $ heta $ where $ sin( heta) = frac{1}{2} $, we find:
$ heta = frac{pi}{6} + 2kpi $ and $ heta = frac{5pi}{6} + 2kpi $
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