 Hello and welcome to this session. Let us understand the following problem today. We have tan inverse root 3 minus cot inverse of minus root 3 is equal to a pi b minus pi by 2 c0 d2 root 3. Now let us write the solution. We know that tan inverse of root 3 is equal to pi by 3 and cot inverse of minus root 3 is equal to cot inverse of minus cot pi by 6 which is equal to cot inverse of cot pi minus pi by 6 which is equal to cot inverse of cot of pi pi by 6 which is equal to 5 pi by 6 because range of principle value branch of cot inverse is 0 to pi. Therefore tan inverse of root 3 minus cot inverse of minus root 3 is equal to pi by 3 minus 5 pi by 6 which is equal to 2 pi minus 5 pi by 6 which is equal to minus 3 pi by 6 which is equal to minus pi by 2. Therefore the correct answer and the required answer is b. I hope you understood the problem. Bye and have a nice day.