Evaluate tan(-1)

Problem

tan(−1)

Solution

1. Identify the function and the input. The task is to evaluate the tangent of −1 radian.

2. Apply the property of odd functions. Since tangent is an odd function, tan(−x)=−tan(x)

3. Rewrite the expression using this property.

tan(−1)=−tan(1)

4. Calculate the numerical value. Using a calculator set to radians, tan(1)≈1.5574

5. Determine the final result by applying the negative sign.

−1.5574

Final Answer

tan(−1)≈−1.5574

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