Find the Exact Value tan(2/3)

Problem

tan(2/3)

Solution

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

2. Determine if the value corresponds to a standard angle on the unit circle. The value 2/3 radians is approximately 38.2 which is not a standard reference angle like π/6 π/4 or π/3

3. Conclude that since 2/3 is not a multiple of π or a standard angle, the exact value cannot be simplified into a simpler algebraic form involving square roots or integers.

4. State the exact value as the expression itself.

Final Answer

tan(2/3)=tan(2/3)

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