Find the Exact Value tan(2)

Problem

tan(2)

Solution

1. Identify the expression as the tangent of 2 radians.

2. Determine if the value can be simplified using standard trigonometric identities or special angles. Since 2 radians is not a multiple of π or a standard reference angle (like π/6 π/4 or π/3, it cannot be expressed in a simpler radical form.

3. Conclude that the exact value is represented by the expression itself, as any decimal approximation would not be exact.

Final Answer

tan(2)=tan(2)

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