Simplify tan(-pi/3)

Problem

tan(−π/3)

Solution

1. Identify the odd-even property of the tangent function, which states that tan(−x)=−tan(x)

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

tan(−π/3)=−tan(π/3)

3. Evaluate the tangent of the reference angle π/3 using the unit circle or special right triangles, where tan(π/3)=√(,3)

tan(π/3)=√(,3)

4. Substitute the value back into the expression to find the final result.

−tan(π/3)=−√(,3)

Final Answer

tan(−π/3)=−√(,3)

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