Vertical asyptotes for y=cscx?

Question

Is it pi•n ( n is any integer) 

Answer 1

y = 1 / sinx

 

 

Set sinx equal to zero.

 

 

sinx = 0

 

x = sin^-1(0)

x = 0

x = π

x = 2n

 

From this pattern  the vertical asymptotes occur at

 

x = πn

 

where   n is any integer from negative infinity to positive infinity, including zero.