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

Question

asked Jul 27, 2022 167k views

2 Answers

Anders Lundsgard · Answer 1 · 2022-07-31T15:33:52+0000

Answer:

Explanation:

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

$tan(-(\pi)/(2))=(sin(-(\pi)/(2)) )/(cos(-(\pi)/(2)) )$

$sin(-(\pi)/(2))=-1$ and
$cos(-(\pi)/(2))=0$ so

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