Find the Exact Value cos(0)

Problem

cos(0)

Solution

1. Identify the angle on the unit circle. The angle 0 radians (or 0 degrees) corresponds to the positive x-axis.

2. Determine the coordinates of the point on the unit circle at this angle. The point where the unit circle intersects the positive x-axis is (1,0)

3. Apply the definition of the cosine function. On the unit circle, cos(θ) is equal to the x-coordinate of the point.

4. Extract the value. Since the x-coordinate is 1 the value of the cosine function at 0 is 1

Final Answer

cos(0)=1

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