Find the values of $sin(x) = 0.5$ on the unit circle

To find the values of $ \sin(x) = 0.5 $ on the unit circle, we need to determine the angles where the sine function equals 0.5. From the unit circle, we know that:

$ \sin(\frac{\pi}{6}) = 0.5 $

$ \sin(\frac{5\pi}{6}) = 0.5 $

So the values of $x$ are:

$ x = \frac{\pi}{6} + 2k\pi \text{ or } x = \frac{5\pi}{6} + 2k\pi $

where $k$ is any integer.

To find the values of $ sin(x) = 0.5 $ on the unit circle, we look for angles with sine equal to 0.5:

$ sin(frac{pi}{6}) = 0.5 $

$ sin(frac{5pi}{6}) = 0.5 $

So:

$ x = frac{pi}{6} + 2kpi ext{ or } x = frac{5pi}{6} + 2kpi $

for any integer $k$.

We find $ sin(x) = 0.5 $ at:

$ x = frac{pi}{6} + 2kpi ext{ or } x = frac{5pi}{6} + 2kpi $

for integers $k$.

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