Find the Exact Value cos(2/3)

Problem

cos(2/3)

Solution

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

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

3. Recognize that 2/3 is approximately 0.667 radians, which is not a standard multiple of π

4. Conclude that the exact value cannot be simplified into a more basic algebraic form or radical expression.

Final Answer

cos(2/3)=cos(2/3)

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