Find the Value Using the Unit Circle cos(360)

Problem

cos(360)

Solution

1. Identify the angle on the unit circle. An angle of 360 represents one full counter-clockwise rotation around the circle.

2. Determine the terminal side of the angle. The angle 360 is coterminal with 0 meaning its terminal side lies along the positive x-axis.

3. Locate the coordinates of the point where the terminal side intersects the unit circle. For 360 this point is (1,0)

4. Apply the definition of the cosine function on the unit circle. The value of cos(θ) is equal to the x-coordinate of the intersection point.

5. Extract the x-coordinate from the point (1,0)

Final Answer

cos(360)=1

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