Find the Exact Value cos(3/7)

Problem

cos(3/7)

Solution

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

2. Determine if the angle 3/7 corresponds to a standard reference angle (such as π/6 π/4 or π/3.

3. Observe that 3/7 is not a standard multiple of π and cannot be simplified further into a more basic exact radical form using standard trigonometric identities.

4. Conclude that the exact value is represented by the expression itself.

Final Answer

cos(3/7)=cos(3/7)

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