Find the Exact Value tan((4pi)/11)

Problem

tan((4*π)/11)

Solution

1. Identify the expression as a trigonometric function of a specific angle in radians.

2. Determine if the angle (4*π)/11 is a standard reference angle (such as π/6 π/4 or π/3.

3. Recognize that 11 is not a standard denominator for which exact algebraic values using square roots are typically expressed in introductory trigonometry.

4. Conclude that the exact value is represented by the expression itself, as it cannot be simplified further into basic radicals.

Final Answer

tan((4*π)/11)=tan((4*π)/11)

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