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cot 7pi/6

√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