 Hello and welcome to the session, I am Deepika here. Let's discuss the question, find the value of the following, 10 inverse 1 plus cos inverse minus 1 by 2 plus sin inverse minus 1 by 2. So let's start the solution, inverse 1 plus cos inverse minus 1 by 2 plus sin inverse minus 1 by 2, we will find the value or principle value of tan inverse 1 and cos inverse minus 1 by 2 and sin inverse minus 1 by 2 and we will add all these values to get the value of the question. So let's start the, now tan inverse 1 is equal to pi by 4 that is the principle value of tan inverse 1 is pi by 4 because the range of principle value branch pi by 2 equal to the principle value of tan inverse 1 is equal to pi by 4. Now your cos inverse minus 1 by 2 equals 0 to pi inverse minus 1 by 2 is equal to 2 pi by 3. The principle value of sin into minus pi by 6 because the range of is equal to minus 1 by 2, the principle value of sin inverse minus 1 by 2 is equal to minus pi by 6. Now the value of minus 1 by 2 is equal to, now equal to which is equal to 9 pi by 12 is equal to 3 pi by 4. So the answer for the above question is 3 pi by 4 that is the value of tan inverse 1 plus cos inverse minus 1 by 2 plus sin inverse minus 1 by 2 is 3 pi by 4. I hope the question is great to you, pi and enjoy yourself.