Find the sine and cosine of the angle at three specific points on the unit circle.

The three specific points we will consider are $\frac{\pi}{6}$, $\frac{\pi}{4}$, and $\frac{\pi}{3}$.

1. For $\frac{\pi}{6}$:

The sine value can be found using the unit circle as $\sin(\frac{\pi}{6}) = \frac{1}{2}$.

The cosine value can be found as $\cos(\frac{\pi}{6}) = \frac{\sqrt{3}}{2}$.

2. For $\frac{\pi}{4}$:

The sine value can be found as $\sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$.

The cosine value can be found as $\cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$.

3. For $\frac{\pi}{3}$:

The sine value can be found as $\sin(\frac{\pi}{3}) = \frac{\sqrt{3}}{2}$.

The cosine value can be found as $\cos(\frac{\pi}{3}) = \frac{1}{2}$.

Therefore, the values are:

$\sin(\frac{\pi}{6}) = \frac{1}{2}$, $\cos(\frac{\pi}{6}) = \frac{\sqrt{3}}{2}$

$\sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$, $\cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$

$\sin(\frac{\pi}{3}) = \frac{\sqrt{3}}{2}$, $\cos(\frac{\pi}{3}) = \frac{1}{2}$

The three specific points we will consider are $frac{pi}{6}$, $frac{pi}{4}$, and $frac{pi}{3}$.

1. For $frac{pi}{6}$:

The sine value is $frac{1}{2}$ and the cosine value is $frac{sqrt{3}}{2}$.

2. For $frac{pi}{4}$:

The sine value is $frac{sqrt{2}}{2}$ and the cosine value is $frac{sqrt{2}}{2}$.

3. For $frac{pi}{3}$:

The sine value is $frac{sqrt{3}}{2}$ and the cosine value is $frac{1}{2}$.

For $frac{pi}{6}$: $sin(frac{pi}{6}) = frac{1}{2}$, $cos(frac{pi}{6}) = frac{sqrt{3}}{2}$

For $frac{pi}{4}$: $sin(frac{pi}{4}) = frac{sqrt{2}}{2}$, $cos(frac{pi}{4}) = frac{sqrt{2}}{2}$

For $frac{pi}{3}$: $sin(frac{pi}{3}) = frac{sqrt{3}}{2}$, $cos(frac{pi}{3}) = frac{1}{2}$

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