Find the Exact Value cos(1/3)

Problem

cos(1/3)

Solution

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

2. Determine if the input 1/3 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 1/3 is not a multiple of π or a standard reference angle, the exact value cannot be simplified into a more basic algebraic form involving integers or square roots.

4. State the exact value as the expression itself.

Final Answer

cos(1/3)=cos(1/3)

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