Find the cosine of $ frac{pi}{3} $ using the unit circle

Answer 1

To find the cosine of $ \frac{\pi}{3} $ using the unit circle, follow these steps:

1. Locate the angle $ \frac{\pi}{3} $ on the unit circle.

2. The angle $ \frac{\pi}{3} $ corresponds to 60 degrees.

3. The coordinates of this angle on the unit circle are (1/2, \sqrt{3}/2).

4. The x-coordinate represents the cosine value.

Therefore, $ \cos(\frac{\pi}{3}) = \frac{1}{2} $.

Answer 2

1. Locate the angle $ frac{pi}{3} $ (60 degrees) on the unit circle.

2. The coordinates are (1/2, sqrt{3}/2).

3. The x-coordinate is the cosine value.

Hence, $ cos(frac{pi}{3}) = frac{1}{2} $.

Answer 3

The x-coordinate of $ frac{pi}{3} $ on the unit circle is $ frac{1}{2} $, so $ cos(frac{pi}{3}) = frac{1}{2} $.