PLS HELP WITH TRIG NEED TO SHOW ALL WORK

Answer:
see explanation
Step-by-step explanation:
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
tan C = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{4}{2}[/tex] = 2