 Hi and how are you all today? I am Priyanka and let us discuss the following question. See, find the values of the trigonometric functions, sin 765 degrees. So let us proceed on with our solution but before that we must be clear that sin pi plus x gives us the value as sin x itself. The knowledge of this property is the key idea we are going to use in order to proceed on with our solution. Now here we are given sin 765 degrees. We know that sin x repeats itself after an interval of 2 pi or 360 degrees. So we can write sin 765 degrees as sin. Now we need to think of a multiple of 360 that is less than or equal to 765 that is if you multiply it by 2 we get the answer as 720 and to make it 765 we need to add 45 degrees to it. As discussed above in our key idea now this sin pi plus x can be written as sin x where our x is 45 degrees. So the answer comes out to be 1 by root 2. So 1 by root 2 is our required answer to the sixth part. I hope you enjoyed this session. Bye for now.