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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