Find the Exact Value tan(-60)

Problem

tan(−60)

Solution

1. Apply the odd-even identity for the tangent function, which states that tan(−θ)=−tan(θ)

tan(−60)=−tan(60)

2. Identify the value of tan(60) using the unit circle or a special 30−60−90 right triangle.

tan(60)=√(,3)

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

−tan(60)=−√(,3)

Final Answer

tan(−60)=−√(,3)

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