Simplify cos(360)

Problem

cos(360)

Solution

1. Identify the angle in standard position on the unit circle. An angle of 360 represents one full rotation around the circle, ending at the same position as 0

2. Determine the coordinates of the point on the unit circle at 360 The point is (1,0)

3. Apply the definition of the cosine function. For any point (x,y) on the unit circle, cos(θ)=x

4. Evaluate the expression by selecting the x-coordinate of the point (1,0)

Final Answer

cos(360)=1

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