Simplify 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=60^∘

2. Recall the coordinates of the unit circle for the standard angle of 60^∘

(x,y)=(1/2,√(,3)/2)

3. Apply the definition of the cosine function on the unit circle, where cos(θ) corresponds to the xcoordinate.

cos(π/3)=1/2

Final Answer

cos(π/3)=1/2

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