Evaluate tan(-1/4)

Problem

tan(−1/4)

Solution

1. Identify the function and the input. The task is to evaluate the tangent of the value −1/4 radians.

2. Apply the odd function property of tangent, which states that tan(−x)=−tan(x)

3. Rewrite the expression using this property.

tan(−1/4)=−tan(1/4)

4. Determine if the value can be simplified further. Since 1/4 is not a standard angle (like π/4 or π/6, the exact value is expressed as the function itself or approximated using a calculator.

5. Calculate the numerical approximation in radians.

tan(−1/4)≈−0.2553419

Final Answer

tan(−1/4)=−tan(1/4)≈−0.2553419

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