Find the Exact Value tan(-60 degrees )

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 right triangle (30^∘−60^∘−90^∘.

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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