Find the Exact Value cos(12/13)

Problem

cos(12/13)

Solution

1. Identify the expression as the cosine of a constant value, where the argument 12/13 is in radians.

2. Determine if the value corresponds to a standard angle on the unit circle. Since 12/13 is not a multiple of π or a standard reference angle (like π/6 π/4 or π/3, it cannot be simplified into a simpler radical or integer form.

3. Conclude that the exact value is the expression itself, as it represents a specific transcendental number.

Final Answer

cos(12/13)=cos(12/13)

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