Find the Exact Value tan(1/4)

Problem

tan(1/4)

Solution

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

2. Recognize that 1/4 is not a standard angle (like π/6 π/4 or π/3 for which a simple algebraic exact value is typically derived in trigonometry.

3. Determine that the exact value is represented by the expression itself, as it cannot be simplified further into radicals or rational numbers without using an infinite series or a numerical approximation.

Final Answer

tan(1/4)=tan(1/4)

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