Question

Which of the trigonometric ratios has a value that is undefined?

Answer 1

Answer:

$\tan \left(\frac{\pi }{2}\right)$

Step-by-step explanation:

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

$\tan \left(\frac{\pi }{2}\right),\\\sin \left(\frac{\pi }{2}\right)=1,\\\cos \left(\frac{\pi }{2}\right)=0,$

$\tan \left(\frac{\pi }{2}\right) = 1/0$

1/0 is undefined as 0 is in the denominator