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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