 Hi and welcome to the session. I am Priyanka and I am going to help you with the following question. Say find the principle and general solution of the following equations. Now here we are given the value of cot x as minus root 3. So let us start with our solution. Now here we are given cot x is equal to minus root 3. So we will convert it into tan x so as to simplify that will be 1 divided by cot x and hence the value will be minus 1 by root 3. Now since tan x is negative that means x therefore x lies in the second and fourth quadrant. Right so let us find out at which point this tan x is equal to minus 1 by root 3 and the answer comes out to be tan y minus pi by 6 because 1 by root 3 tan 1 by root 3 is in pi by 6 comes out. So the answer comes out to be tan 5 pi by 6. So this is a value in the second quadrant. We need to find the value in the fourth quadrant also. So now tan x is equal to minus 1 by root 3. From the fourth quadrant if the value of tan x is in the fourth quadrant will be obtaining its value by subtracting pi by 6 from 2 by that will give us the value as tan 11 pi by 6 and this is the value that is in the fourth quadrant. So the principle solution is 5 pi by 6 and 11 pi by 6. Right proceeding on to find the general solution tan x is equal to tan y and where our y is pi by 5 pi by 6. Right our general solution as the value of x as n pi plus minus y and here the y is 5 pi 6 and n belongs to the set of integers. Right so this ends the question that was given to us. I hope you enjoyed the session and our final answer is the value. The principle solution is 5 pi by 6 and 11 pi by 6 whereas our general solution is x is equal to n pi plus minus 5 pi by 6. Right so this ends the question that was given to us and I hope you enjoyed the session.