Find the Exact Value tan(3)

Problem

tan(3)

Solution

1. Identify the input of the function. The expression tan(3) refers to the tangent of 3 radians, as there is no degree symbol.

2. Determine if the value is a standard angle. The value 3 is not a multiple of common reference angles like π/6 π/4 or π/3

3. Analyze the possibility of an exact algebraic form. Since 3 is not a rational multiple of π the value tan(3) cannot be expressed using standard radicals or elementary algebraic constants.

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

Final Answer

tan(3)=tan(3)

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