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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