Find the values of $cos( heta)$ for 3 different angles on the unit circle.

To find the cosine values for angles on the unit circle, we first identify the angles and then use the unit circle definition.

Example angles: \(\theta = \frac{\pi}{3}, \theta = \frac{5\pi}{6}, \theta = \frac{7\pi}{4}\).

For \(\theta = \frac{\pi}{3}\):

Using the unit circle, we know that \(\cos(\frac{\pi}{3}) = \frac{1}{2}\).

For \(\theta = \frac{5\pi}{6}\):

Using the unit circle, we know that \(\cos(\frac{5\pi}{6}) = -\frac{\sqrt{3}}{2}\).

For \(\theta = \frac{7\pi}{4}\):

Using the unit circle, we know that \(\cos(\frac{7\pi}{4}) = \frac{\sqrt{2}}{2}\).

First, we will identify the angles and determine their cosine values using the unit circle.

Angles: ( heta = frac{pi}{3}, heta = frac{5pi}{6}, heta = frac{7pi}{4}).

For ( heta = frac{pi}{3}), the cosine value is:

$cosleft(frac{pi}{3}
ight) = frac{1}{2}$

For ( heta = frac{5pi}{6}), the cosine value is:

$cosleft(frac{5pi}{6}
ight) = -frac{sqrt{3}}{2}$

For ( heta = frac{7pi}{4}), the cosine value is:

$cosleft(frac{7pi}{4}
ight) = frac{sqrt{2}}{2}$

We will use the unit circle to find the cosine values.

Angles: (frac{pi}{3}, frac{5pi}{6}, frac{7pi}{4}).

$cosleft(frac{pi}{3}
ight) = frac{1}{2}$

$cosleft(frac{5pi}{6}
ight) = -frac{sqrt{3}}{2}$

$cosleft(frac{7pi}{4}
ight) = frac{sqrt{2}}{2}$

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