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. Since tan(−x)=−tan(x) the expression can be rewritten.

tan(−1/3)=−tan(1/3)

3. Determine if the value is a standard angle. The value 1/3 is not a standard angle (like π/6 or π/4, so the exact value is typically left in its trigonometric form or approximated using a calculator.

4. Calculate the numerical approximation. Using a calculator in radian mode, tan(−1/3)≈−0.346356

Final Answer

tan(−1/3)=−tan(1/3)≈−0.346356

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