Find the Exact Value cos(-1)

Problem

cos(−1)

Solution

1. Identify the property of the cosine function regarding negative inputs. The cosine function is an even function, which means cos(−x)=cos(x) for any value x

2. Apply the even function property to the given expression where x=1

3. Determine if further simplification is possible. Since 1 is not a standard angle (like π/6 or π/4 and the task asks for the exact value, the expression is left in terms of the cosine function.

Final Answer

cos(−1)=cos(1)

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