 Hi and welcome to the session and we are going to discuss the following question. Find xy2 cos xy2 and tan xy2 in each of the columns. Now, here we are given the value that is tan x is equal to minus 4 by 3 where x lies in the second quadrant. Let us start with our solution where we are given the value of tan x as minus 4 by 3. We know that 1 plus tan square x is equal to we can square x right. So we can find the value by substituting minus 4 by 3 in here. We can get the value of we can square x and simply find we have 25 by 9 and the root is equal to x. Since we know that x lies in the second quadrant that means the value of x will be negative. So we have negative 5 by c of we can x. We can easily find cos x that is 1 divided by x that is 1 divided by minus 5 by c that is minus 3 by. Now we need to find sin xy2 tan x by 2 and cos x by 2. The formula is 1 minus cos x by 2. To substitute the value of cos x there we can find out the value of phi and that is equal to 1 plus 3 by 5 divided by 2. We can take that 8 by 5 divided by 2 into square root that is 8 divided by 10 that is equal to 4 by 5 square root that is 2 by root. So this is phi xy2. Whereas now let us proceed on finding cos x by 2 it is equal to 1 plus cos xy2. The formula substituting the values we have 1 minus 3 by 5 by 2 that gives us 2 by 5 by 2 that is 1 by 5 in square root equal to 1 by root 5 that is 4 xy2. And lastly we need to find tan xy2 that can be found out by sin xy2 divided by cos xy2. Sin xy2 as we have found out earlier is 2 by root 5 so it will be 2 by root 5 divided by 1 by root 5. root 5 will get cancelled out and we will find out that it is 2 and that is equal to tan xy2. But in order to rationalize the denominator and after doing so we have the value of sin xy2 as 2 by root 5 that after rationalizing it gives us 2 by root 5. And the value of sin xy2 for xy2 is 1 by root 5 after rationalizing the denominator we have the value root 5 by 5 and tan xy2 is equal to 2. So these are the required answers to the question that was asked from us. I hope you enjoyed the session. Take care. Bye for now.