Find the Exact Value tan(1/2)

Problem

tan(1/2)

Solution

1. Identify the expression as the tangent of a constant value, where the argument 1/2 is measured in radians.

2. Determine if the value corresponds to a standard unit circle angle (such as 0 π/6 π/4 π/3 or π/2.

3. Recognize that 1/2 radian is not a standard angle that results in a simple algebraic exact value involving square roots or integers.

4. Conclude that the exact value is represented by the expression itself, as there are no further trigonometric identities to simplify tan(1/2) into a more basic form without using numerical approximations.

Final Answer

tan(1/2)=tan(1/2)

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