If 3 \tan A = 4, then find \sin A \text{ and } \cos A

Step 1: Explore the given question
NOTE: 3 \tan A = 4
\tan A = \frac{4}{3}
\tan A = \frac{opp}{adjacent}
Therefore, opposite side = 4
Adjacent side = 3
Step 2: Find the unknown side of the right triangle.
hypotenuse^2 = opposite^2 + adjacent^2
hyp^2 = 4^2 + 3^2
hyp = \sqrt{16 + 9}
hypotenuse = 5
Step 3: Recall the formulas and find the \sin A , \cos A
FRMULAS: (i) \sin A =\frac{opp}{hyp}
\sin A =\frac{4}{5}
(ii) \cos A =\frac{adj}{hyp}
\cos A =\frac{3}{5}