 I welcome to the session. I am Arsha and I am going to help you with the following problem which says, prove that cot is square pi upon 6 plus coset 5 pi upon 6 plus 3 tan square pi upon 6 is equal to 6. This is now begin with the solution and we will evaluate the value of left hand side and show that its value is equal to 6. So left hand side is cot is square pi upon 6 plus coset 5 pi upon 6 plus 3 tan square pi upon 6. This is further equal to cot pi upon 6 whole square plus coset pi minus pi upon 6 plus 3 tan pi upon 6 whole square which is further equal to cot pi upon 6 is 30 degree whole square. Coset pi minus pi upon 6 is coset pi upon 6 since this angle lies in the second quadrant and in the second quadrant coset function is positive plus 3 tan 30 degree whole square which is further equal to cot 30 degree is root 3 whole square plus coset pi upon 6 is coset 30 degree. This value is 2 plus 3 times tan 30 degree which is 1 upon root 3 whole square. Now this is further equal to root 3 whole square is 3 plus 2 plus 3 into 1 upon 3 which is further equal to 3 plus 2 is 5 plus 3 cancels out with 3 and we have 1. This is equal to 6 which is the right hand side of the given equation. So we have value of left hand side is equal to the value of right hand side and thus square pi upon 6 plus coset 5 pi upon 6 plus 3 tan square pi upon 6 is equal to 6. So this completes the session hope you enjoyed it take care and have a good day.