Evaluate tan(-1/3)

Problem

tan(−1/3)

Solution

1. Identify the function and the input. The task is to evaluate the tangent of the value −1/3 radians.

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

3. Rewrite the expression using this property.

tan(−1/3)=−tan(1/3)

4. Calculate the numerical value. Since 1/3 is not a standard angle, the value is typically left in its exact trigonometric form or approximated using a calculator.

−tan(1/3)≈−0.346356

Final Answer

tan(−1/3)=−tan(1/3)

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