In order to calculate the sine, cosine and tangent of angle A, we need to know the following:
The sine relation is the length of the opposite side to the angle over the length of the hypotenuse;
The cosine relation is the length of the adjacent side to the angle over the length of the hypotenuse;
The tangent relation is the length of the opposite side to the angle over the length of the adjacent side to the angle.
Knowing that, we have:
![\begin{gathered} \sin (A)=(BC)/(AB)=(4)/(5) \\ \tan (A)=(BC)/(AC)=(4)/(3) \\ \cos (A)=(AC)/(AB)=(3)/(5) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6mcaboiefauqfpx7hwecbjbxqyhlsgiqtc.png)