Answer:
√3
Step-by-step explanation:
We cannot solve this operation directly. Because cot7pi/6 is undefined.
We know that 1/tan= cot.
so we will first take the reciprocal of cot that is 1/tan.
So,
cot7pi/6= 1/tan 7π/6
∵7π/6 = 210 where pi=180
so cot7π/6 =1/tan210
cot7π/6 =1/1÷√3
cot7π/6 = √3