 Hi and welcome to the session. Let us understand the following question today. Prove the following tan inverse 2 by 11 plus tan inverse 7 by 24 is equal to tan inverse of half. Now before writing the solution, let us write the identity we will be using in the question. Which says tan inverse x plus tan inverse y is equal to tan inverse of x plus y divided by 1 minus xy, where xy is less than 1. Now this is the key idea to our question. Now let us proceed with the solution. Here given to us that x is equal to 2 by 11 and y is equal to 7 by 24. Now consider NHS. We get tan inverse of 2 by 11 plus tan inverse of 7 by 24 is equal to tan inverse of 2 by 11 plus 7 by 24. Whole divided by 1 minus 2 by 11 multiplied by 7 by 24 which is equal to tan inverse 48 plus 77 by 264 whole divided by 264 minus 14 by 264 which is equal to tan inverse of 125 by 250. This gets cancelled back to so we get tan inverse of half which is equal to RHS. Therefore LHS is equal to RHS hence proved. I hope you understood the question and enjoy the session. Bye and have a nice day.