Evaluate cos(-pi)

Problem

cos(−π)

Solution

1. Identify the property of the cosine function. Cosine is an even function, which means cos(−θ)=cos(θ)

2. Apply the even function property to the given expression.

cos(−π)=cos(π)

3. Determine the value of cos(π) using the unit circle. At an angle of π radians (180, the coordinates on the unit circle are (−1,0)

4. Evaluate the cosine value, which corresponds to the xcoordinate.

cos(π)=−1

Final Answer

cos(−π)=−1

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