Question

Which of the following is the correct ratio for tan(7π6)
?(1 point)
Responses

tan(7π6)=−3√2−12=3–√
tangent of open paren 7 pi over 6 close paren is equal to the fraction with numerator negative the fraction with numerator square root of 3 and denominator 2 and denominator negative 1 half is equal to square root of 3

tan(7π6)=123√2=3√3
tangent of open paren 7 pi over 6 close paren is equal to the fraction with numerator 1 half and denominator the fraction with numerator square root of 3 and denominator 2 is equal to the fraction with numerator square root of 3 and denominator 3

tan(7π6)=−123√2=−3√3
tangent of open paren 7 pi over 6 close paren is equal to the fraction with numerator negative 1 half and denominator the fraction with numerator square root of 3 and denominator 2 is equal to negative the fraction with numerator square root of 3 and denominator 3

tan(7π6)=−12−3√2=3√3

Answer 1

tan(7π/6) = tan(π + π/6) = tan(π/6) = 1/√3 = √3/3.

So pick the choice that simplifies to (1/2) / (√3/2) = √3/3 (the option that gives √3/3).