Answer:
Step-by-step explanation:
tan is the same thing as sin/cos. therefore,
[tex]tan(-\frac{\pi}{2})=\frac{sin(-\frac{\pi}{2}) }{cos(-\frac{\pi}{2}) }[/tex]
[tex]sin(-\frac{\pi}{2})=-1[/tex] and [tex]cos(-\frac{\pi}{2})=0[/tex] so
[tex]tan(-\frac{\pi}{2})=-\frac{1}{0}[/tex] which is undefined. On the graph, this is represented by an asymptote. So your answer is true.
