If sin(A) = 12/13, then the value of the side opposite angle A is 12 and the value of the hypotenuse is 13.
To find the third side (the side adjacent to angle A) can be found by using the Pythagorean Theorem:
c2 = a2 + b2 ---> 132 = 122 + b2 ---> 169 = 144 + b2 ---> b2 = 25 ---> b = 5
Since the adjacent side has a value of 5 and the hypotenuse has a value of 13,
cos(A) = adj/hyp = 5/13.
If sin(A) = 12/13, then the value of the side opposite angle A is 12 and the value of the hypotenuse is 13.
To find the third side (the side adjacent to angle A) can be found by using the Pythagorean Theorem:
c2 = a2 + b2 ---> 132 = 122 + b2 ---> 169 = 144 + b2 ---> b2 = 25 ---> b = 5
Since the adjacent side has a value of 5 and the hypotenuse has a value of 13,
cos(A) = adj/hyp = 5/13.