Question

URGENT PLEASE HELP: x = -pi/2 is an asymptote in the graph of y = tanx.

True or False

Answer 1

Answer:

Step-by-step explanation:

tan is the same thing as sin/cos. therefore,

$tan(-\frac{\pi}{2})=\frac{sin(-\frac{\pi}{2}) }{cos(-\frac{\pi}{2}) }$

$sin(-\frac{\pi}{2})=-1$ and $cos(-\frac{\pi}{2})=0$ so

$tan(-\frac{\pi}{2})=-\frac{1}{0}$ which is undefined. On the graph, this is represented by an asymptote. So your answer is true.