Respuesta :

Answer:

see explanation

Step-by-step explanation:

For the right triangle

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{5} }{12}[/tex] = [tex]\frac{\sqrt{5} }{3}[/tex]

cosx = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4\sqrt{5} }{8}[/tex] = [tex]\frac{\sqrt{5} }{2}[/tex]