Question

Explain why csc 180° is undefined

Answer 1

csc is the same as 1/sin

so on the unit circle sin 180 = 0

so csc = 1/sin = 1/sin(180) - 1/ 0
which is undefined.

Answer 2

csc 180=1/sin 180. sin 180= 0, anything when divided by 0 is undefined. hence scs 180 is undefined.@mackenziecarmody37

Answer 3

cosecant and secant are undefined for this reason.
It is just like having a variable with negative exponent equal to zero.