Simplify 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 angle 2/3 corresponds to a standard unit circle value (such as π/3 or π/6. Since 2/3 is a real number approximately equal to 0.667 radians and does not contain the constant π it is not a standard angle with a simple radical or rational exact form.

3. Conclude that the expression is already in its simplest exact form.

Final Answer

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

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