Question

The domain of y = csc x is given by x≠nπ.
True or False?

Answer 1

csc(x) = 1/sin(x) so we need the things that make sin(x) = 0

when does this happen?

Answer 2

not sure

Answer 3

then you need to go back and study the unit circle.

we want to know for what x is sin(x) =0

Answer 4

x=+ or - 2Pin, Pi + or -2Pin

Answer 5

sin(n*pi) = 0 for all n

Answer 6

\(\sin(n\pi)=0\) for all \(n\in \mathbb{Z}\)

Answer 7

So then it would be True?

Answer 8

correct

Answer 9

Thanks!