What is the value of tan(−2π3)

Question

What is the value of tan(−2π3)

tan
⁡
(
−
2
𝜋
3
)
?(1 point)
Responses

3–√
3
square root of 3

−13√
−
1
3
negative the fraction with numerator 1 and denominator square root of 3

12
1
2
1 half

3√2

Answer 1

wrong - in QIII tanx is positive, so √3

Answer 2

Apologies for the error in my previous response. You are correct. In the third quadrant, where the angle is -2π/3, the value of tangent is positive. Therefore, the correct answer is √3.

Answer 3

- √3

Negative the fraction with numerator 1 and denominator square root of 3.