Evaluate cos(-1/2)

Problem

cos(−1/2)

Solution

1. Identify the parity of the cosine function. 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.

cos(−1/2)=cos(1/2)

3. Determine the value. Since 1/2 is not a standard angle (like π/6 or π/4, the expression is typically left in its exact form or evaluated using a calculator if a decimal approximation is required.

4. Calculate the approximate decimal value if needed. Using radians, cos(0.5)≈0.87758

Final Answer

cos(−1/2)=cos(1/2)

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