How do you evaluate cot((2pi)/3)cot(2π3)?

2 Answers
Apr 4, 2016

1.4021.402

Explanation:

Evaluate (2pi)/32π3 where pi = 180^oπ=180o, which gives a value of 120^o120o.

Also know that cot = 1/tancot=1tan.

Therefore,

cot((2pi)/3) = 1/(tan(120)) = 1/0.713 = 1.402cot(2π3)=1tan(120)=10.713=1.402

Apr 5, 2016

- sqrt3/333

Explanation:

Trig table --> tan ((2pi)/3) = - sqrt3tan(2π3)=3
Therefor,
cot ((2pi)/3) = 1/(tan) = - 1/sqrt3 = - sqrt3/3cot(2π3)=1tan=13=33