Find the Exact Value tan(0.4)

Problem

tan(0.4)

Solution

1. Identify the input value as 0.4 radians.

2. Recognize that 0.4 is not a standard angle (like π/6 or π/4 for which an exact algebraic value using radicals is typically expressed.

3. Determine that the "exact value" of a transcendental function at a non-standard rational input is simply the expression itself, as it cannot be simplified into a finite combination of integers and radicals.

4. Conclude that the expression is already in its most precise exact form.

Final Answer

tan(0.4)=tan(0.4)

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