Simplify cos(-pi)

Problem

cos(−π)

Solution

1. Identify the property of the cosine function regarding negative angles.

2. Apply the even function property, which states that cos(−θ)=cos(θ) for any angle θ

cos(−π)=cos(π)

3. Evaluate the cosine of π using the unit circle or the graph of the cosine function.

4. Determine that at π radians (180, the xcoordinate on the unit circle is −1

cos(π)=−1

Final Answer

cos(−π)=−1

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