Find the Exact Value cos(-1/2)

Problem

cos(−1/2)

Solution

1. Identify the expression as the cosine of a constant value, −1/2 radians.

2. Recognize that the cosine function is an even function, meaning cos(−x)=cos(x)

3. Apply the even function property to rewrite the expression.

cos(−1/2)=cos(1/2)

4. Determine if the value can be simplified further. Since 1/2 is not a standard angle (like π/6 or π/4, the exact value is expressed as the function itself.

Final Answer

cos(−1/2)=cos(1/2)

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