Answer:
[tex]\cos(A) = \frac{4}{5} \\ \sin(A) = \frac{3}{5} \\ \tan(A) = \frac{3}{4} [/tex]
Step-by-step explanation:
Recall and use the mnemonics SOHCAHTOA.
The cosine ratio is opposite over hypotenuse.
[tex] \cos \: A = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(A) = \frac{16}{20} [/tex]
Simplify to get;
[tex]\cos(A) = \frac{4}{5} [/tex]
[tex]\sin(A) = \frac{opposite}{hypotenuse} [/tex]
[tex]\sin(A) = \frac{12}{20} = \frac{3}{5} [/tex]
The tangent ratio is opposite over adjacent.
[tex]\tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{12}{16} \\ \tan(A) = \frac{3}{4} [/tex]
