Find the Exact Value tan(1)

Problem

tan(1)

Solution

1. Identify the expression as the tangent of 1 radian.

2. Recognize that 1 radian is not a standard angle (like 0 π/6 π/4 π/3 or π/2 for which the tangent has a simple algebraic exact value involving basic radicals.

3. Determine that the exact value of tan(1) cannot be simplified further into a more elementary form using standard trigonometric constants.

4. Conclude that the expression tan(1) is already in its simplest exact form.

Final Answer

tan(1)=tan(1)

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