Evaluate cos(1/2)

Problem

cos(1/2)

Solution

1. Identify the expression as the cosine of a constant value given in radians.

2. Recognize that 1/2 radian is not a standard angle (like π/6 or π/4 that results in a simple radical or integer value.

3. Calculate the numerical approximation using a calculator or Taylor series expansion if a decimal value is required.

4. Determine the approximate value, noting that cos(0.5)≈0.87758256

Final Answer

cos(1/2)≈0.87758256

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