 Hi, and welcome to the session. I am Deepika here. Let's discuss a question. In triangle a, b, c, right angle at b, a, b is equal to 24 cm, b, c is equal to 7 cm. Determine part 1 sin a cos a, part 2 sin c cos c. Now we know that in triangle a, b, c, right angle at b, according to the Pythagoras theorem, is equal to a, b square plus b c square. That is, hypotenuse square is equal to the sum of the squares of other two sides. And sin a is equal to side opposite to acute angle a and over hypotenuse. And cos a is equal to side adjacent to acute angle a upon hypotenuse. Similarly, if we want to find sin c, that will be side opposite to angle c upon hypotenuse. And cos c is equal to side adjacent to angle c upon hypotenuse. So, this is a key idea behind our question. Let's use this key idea to solve the above question. So, let's start the solution. Solution part 1. a, b, c is a given triangle, right angle at b. And it is given a, b is equal to 24 cm and b, c is equal to 7 cm. Now, by using Pythagoras theorem, in triangle a, b, c, right angle at b, we have this square is a, c square is equal to a, b square plus b, c square and a, c square is equal to, a, b is given to us 24 cm, 24 square plus b, c square is 7 square. This implies a, c square is equal to 576 plus 49, a, c square is equal to 625. This implies a, c is equal to under root of 625, that is equal to 25. So, a, c is equal to 25 cm. Now, we know that sin a is equal to side opposite to angle a. Now, this is a side opposite to angle a and this is a side adjacent to angle a. Now, sin a is equal to side opposite to angle a, that is b, c upon hypotenuse, that is equal to 7 over 25. Similarly, cos a is equal to side adjacent to angle a, that is a, b upon hypotenuse a, c and this is equal to 24 upon 25. Hence, the answer for part a is sin a is equal to 7 over 25 and cos a is equal to 24 over 25. This is the answer for part 1. Let's move to the part 2. We have to find sin c and cos c. Now, sin c is equal to side opposite to angle c, that is a, b upon hypotenuse a, c and this is equal to 24 over 25 and similarly, cos a is equal to side adjacent to angle c, that is b, c upon hypotenuse a, c and this is equal to 7 over 25. Hence, the answer for part 2 is sin c is equal to 24 over 25 and cos c is equal to 7 over 25. This is the answer for part 2. I hope the question is clear to your fine teacher.