Respuesta :

Answer:

[tex]\tan \left(\frac{\pi }{2}\right)[/tex]

Step-by-step explanation:

We know that  tan(x) is defined as  sin(x)/cos(x):

[tex]\tan \left(\frac{\pi }{2}\right),\\\sin \left(\frac{\pi }{2}\right)=1,\\\cos \left(\frac{\pi }{2}\right)=0,\\\\[/tex]

[tex]\tan \left(\frac{\pi }{2}\right) = 1/0 \\[/tex]

1/0 is undefined as 0 is in the denominator