Answer:
sin X = 12/13
cos X = 5/13
tan X = 12/5
Step-by-step explanation:
Recall the definitions as follows:
For a right triangle (i.e one angle is 90 deg) with one of the angles X
sin X = opposite side / hypotenuse
cos X = adjacent side / hypotenuse
tan X = opposite side / adjacent side
In our case for angle A, the following applies:
opposite = 36
adjacent = 15
hypotenuse = 39
hence
sin X = opposite side / hypotenuse = 36/39 = 12/13
cos X = adjacent side / hypotenuse = 15/39 = 5/13
tan X = opposite side / adjacent side = 36 /15 = 12/5
