Problem

Use the figure of the first quadrant of the unit circle to find the exact circular function value.
cosπ3

Answer

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Answer

Final Answer: cosπ3=12

Steps

Step 1 :Use the figure of the first quadrant of the unit circle to find the exact circular function value. cosπ3

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 π3 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(π3)=12.

Step 5 :Final Answer: cosπ3=12

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