There are 3 trigonometric ratios: Sine = opposite/hypotenuse, Cosine = adjacent/hypotenuse and tangent = opposite/adjacent Since in the question we have not been given the hypotenuse, we calculate it first. So, hypotenuse = √(12²+5²) = √(144+25) = √169 = 13.
Now we can find the trigonometric ratios; Sin A = Cos B = 5/13 Sin B = Cos A = 12/13 Tan A = 5/12 Tan B= 12/5