 Hi and welcome to the session I am Deepika here. Let's discuss the question. Find the principal value of tan inverse minus root 3. So just look at the table. In the table the domains and ranges of that the principal value branch is of inverse trigonometric functions are given. So from this table we see the principal value branch, the range of the principal value branch of tan inverse is open interval minus pi by 2 to pi by 2. So let's start the solution equal to y then minus root 3 this is equal to minus tan pi by 3 and we know that tan of minus theta is equal to minus tan theta. So this is tan of minus pi by 3. Now we know that the principal value branch the range pi by 2 to pi by 2 equal to minus root 3. Therefore the principal value of the question I hope the question is clear to you. Fine enjoy yourself.