Explanation:
remember, sine is the up/down leg, cosine is the left/right leg.
the Hypotenuse is the radius of the circle around the trigonometric triangle.
so,
sin(R) = 5/13
cos(R) = 12/13
tan(R) = sin(R)/cos(R) = 5/13 / 12/13 = (5×13)/(13×12) =
= 5/12