Evaluate cos(12/13)

Problem

cos(12/13)

Solution

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

2. Determine if the value 12/13 corresponds to a standard angle on the unit circle. Since 12/13≈0.923 radians, it is not a common multiple of π

3. Calculate the numerical value using a calculator or leave it in its exact form. In most mathematical contexts, cos(12/13) is considered the exact form.

4. Approximate the value if a decimal is required. Using the cosine function for 0.923 radians results in approximately 0.603

Final Answer

cos(12/13)≈0.60328

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