Find the Value Using the Unit Circle cos(60)

Problem

cos(60^∘)

Solution

1. Identify the angle on the unit circle. The angle is 60^∘ which is located in the first quadrant.

2. Determine the coordinates (x,y) of the point on the unit circle corresponding to 60^∘ For any angle θ the coordinates are (cos(θ),sin(θ))

3. Recall the standard values for a 30^∘−60^∘−90^∘ reference triangle. At 60^∘ the xcoordinate is 1/2 and the ycoordinate is √(,3)/2

4. Extract the cosine value, which corresponds to the xcoordinate of the point.

Final Answer

cos(60^∘)=1/2

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