Question

Which equations represent two vertical asymptotes of the function y = 3 cot(4∕3x)?


A) x = 0 and x = 3π∕4

B) x = 0 and x = 3π∕8

C) x = –3π∕8 and x = 3π∕8

D) x = – 3π∕4 and x = 3π∕4

Answer 1

Answer:

A) x = 0 and x = 3π∕4

Step-by-step explanation:

cot 0° = oo (infinite)

4/3 x = 0

=> x = 0

cot 180° = oo (infinite)

4/3 x= 180

x = 3/4 × 180

= 135°

= ¾π