What are the trigonometric ratios of a right triangle ABC that has its right angle at C? AC=12 and BC=5

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