Find the Exact Value cos(pi/3)

Problem

cos(π/3)

Solution

1. Identify the angle in degrees to better visualize the position on the unit circle.

π/3* radians⋅180^∘/π=60^∘

2. Recall the coordinates of the unit circle for the standard angle 60^∘ or π/3

(x,y)=(cos(π/3),sin(π/3))

3. Determine the xcoordinate for the angle π/3 using the properties of a 30^∘−60^∘−90^∘ reference triangle.

cos(π/3)=1/2

Final Answer

cos(π/3)=1/2

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