Question

The domain of y=csc x is given by x ≠npi
True
False
Please explain! Thanks!!

Answer 1

@campbell_st
Anyway you could help?

Answer 2

ok... so you should know

csc(x) = 1/sin(x)

and the graph of sin(x) is



so what values of x take where the curve of sin(x) cuts the x-axis or where
sin(x) = 0

its pi, 2pi, 3pi, etc...

now in any fraction you can't have a denominator equal to zero...

so if you think about the original point

csc(x) = 1/sin(x)

the values you can't use are where sin(x) = 0... and they are... pi, 2pi, 3pi, ......

hope it helps you to get the answer