Find the Exact Value cos(60 degrees )

Problem

cos(60^∘)

Solution

1. Identify the angle on the unit circle. The angle 60^∘ is one of the standard angles in the first quadrant.

2. Recall the coordinates (x,y) for the angle 60^∘ on the unit circle, which are (1/2,√(,3)/2)

3. Apply the definition of the cosine function on the unit circle, where cos(θ)=x

4. Determine the value by selecting the xcoordinate of the point.

Final Answer

cos(60^∘)=1/2

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