Evaluate cos(5/13)

Problem

cos(5/13)

Solution

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

2. Recognize that 5/13 is not a standard angle (like π/6 or π/4 for which the cosine has a simple radical or integer form.

3. Determine that without a calculator or specific context requiring a decimal approximation, the expression is already in its simplest exact form.

4. Approximate the value if needed for context, where 5/13≈0.3846 radians, resulting in a value of approximately 0.927

Final Answer

cos(5/13)=cos(5/13)

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