Find the Exact Value tan(57/82)

Problem

tan(57/82)

Solution

1. Identify the task as finding the exact value of the tangent of a real number (given in radians).

2. Determine if the angle 57/82 corresponds to a standard reference angle (such as π/6 π/4 or π/3.

3. Compare the value to π Since π≈3.14159 the value 57/82≈0.695 is not a simple rational multiple of π that results in a standard exact form involving square roots.

4. Conclude that because the input is not a standard multiple of π the expression cannot be simplified further into a radical or integer form.

Final Answer

tan(57/82)=tan(57/82)

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