Use the figure of the first quadrant of the unit circle to find the exact circular function value.
\[
\cos \frac{\pi}{3}
\]

Answer

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Final Answer: \[\cos \frac{\pi}{3} = \boxed{\frac{1}{2}}\]

Steps

Step 1 ：Use the figure of the first quadrant of the unit circle to find the exact circular function value. \[\cos \frac{\pi}{3}\]

Step 2 ：The cosine function gives the x-coordinate of the point on the unit circle that is an angle of θ radians counterclockwise from the positive x-axis.

Step 3 ：The angle \(\frac{\pi}{3}\) radians is equivalent to 60 degrees.

Step 4 ：From the unit circle, we know that the x-coordinate of the point at 60 degrees is 1/2. Therefore, \(\cos(\frac{\pi}{3}) = \frac{1}{2}\).

Step 5 ：Final Answer: \[\cos \frac{\pi}{3} = \boxed{\frac{1}{2}}\]

Use the figure of the first quadrant of the unit circle to find the exact circular function value.\[\cos \frac{\pi}{3}\]

Answer

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Use the figure of the first quadrant of the unit circle to find the exact circular function value.
\[
\cos \frac{\pi}{3}
\]