If ##tan (x) =5/12##, then what is sin x and cos x?

Viewed as a right angled triangle ##tan(x)=5/12## can be thought of as the ratio of opposite to adjacent sides in a triangle with sides ##5, 12## and ##13## (where ##13## is derived from the Pythagorean Theorem)

So ##sin(x) = 5/13## and ##cos(x) = 12/13##