00:01
So in the given question we have a right triangle a b c right and we are given that ab is equal to 24 cm b c is 7 cm and we are told to find sine a cos a cos c and sign c right so in general what we can do is if we have a triangle say we have a triangle pqr and there is an angle theta in this angle the sign of this angle theta so this is a right angled triangle right and this is the ipodneuse so this is the opposite side opposite side to theta and this is the adjacent side to theta.
01:04
So when we take the value of sine theta, what we do is we take the ratio of the lengths of the opposite side divided by the hypotenuse.
01:21
And when you take the cost of this angle, cost theta, what we do is we take the adjacent side, the length of the adjacent side divided by the length of the hypotenuse.
01:35
So this is the method that we are going to use here.
01:39
So before that we need to find the length of the hypotenuse, right, which is ac over here.
01:46
So we can use the pythagoras theorem which says that in a trend.
01:51
Triangle, in a right angled triangle, the square of the hypotenuse, the square of the length of the hypotenuse is equal to the sum of squares of squares of the other two sides, the other two sides of the triangle.
02:24
So over here we have ab and b c, right? so ac squared is then equal to ab squared plus bc squared which is equal to 24 squared plus 7 squared...