Respuesta :

Answer:

tan² A = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Using the identity

tan²x + 1 = sec²x , that is

tan² A = sec² A - 1

           = ([tex]\frac{3}{2}[/tex] )² - 1

           = [tex]\frac{9}{4}[/tex] - 1

           = [tex]\frac{5}{4}[/tex]