Find the Exact Value cos(5/13)

Problem

cos(5/13)

Solution

1. Identify the expression as the cosine of a constant value, where the argument 5/13 is measured in radians.

2. Determine if the argument corresponds to a standard angle on the unit circle (such as 0 π/6 π/4 π/3 or π/2.

3. Conclude that since 5/13 is not a standard angle and no further trigonometric identities or context (such as an inverse trigonometric function) are provided, the exact value is simply the expression itself.

Final Answer

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

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