Evaluate tan(-4/5)

Problem

tan(−4/5)

Solution

1. Identify the property of the tangent function. The tangent function is an odd function, which means tan(−x)=−tan(x)

2. Apply the property to the given expression to move the negative sign outside the function.

tan(−4/5)=−tan(4/5)

3. Evaluate the numerical value. Since 4/5 (or 0.8 is not a standard angle, the value is typically left in its exact trigonometric form or approximated using a calculator in radians.

tan(0.8)≈1.029638557

4. Apply the negative sign to the result.

−1.029638557

Final Answer

tan(−4/5)≈−1.029638557

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