Evaluate cos(180 degrees )

Problem

cos(180)

Solution

1. Identify the position of the angle 180 on the unit circle.

2. Determine the coordinates (x,y) at this angle, which corresponds to the point (−1,0)

3. Apply the definition of the cosine function on the unit circle, where cos(θ)=x

4. Substitute the xcoordinate value into the expression.

Final Answer

cos(180)=−1

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