 Hello and welcome to the session. In this session we discuss the following question which says if sin theta is equal to 1 upon 3 then find the value of 2 cot square theta plus 2. Let's proceed with the solution now. We have given sin theta equal to 1 upon 3 we need to find the value for 2 cot square theta plus 2. Now 2 cot square theta plus 2 is equal to 2 into cot square theta plus 1 the whole. Now this is equal to 2 x square theta since we know that 1 plus cot square theta is equal to cot square theta or you can say this is equal to 2 upon sin square theta since we know that sin theta is equal to 1 upon cot square theta so cot square theta would be equal to 1 upon sin theta. Now putting the value for sin theta as 1 upon 3 we get this is equal to 2 upon 1 upon 3 whole square so this is further equal to 2 upon 1 upon 9 and so this is equal to 2 into 9 which is equal to 18 thus we get 2 cot square theta plus 2 is equal to 18. This is our final answer. This completes the session. Hope you have understood the solution of this question.