Find the Value Using the Unit Circle cos(0)

Problem

cos(0)

Solution

1. Identify the angle on the unit circle. The angle is 0 radians (or 0, which corresponds to the positive x-axis.

2. Determine the coordinates of the point on the unit circle at this angle. For an angle of 0 the point is (1,0)

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

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

Final Answer

cos(0)=1

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