Question

What are the exact roots for `csctheta` is undefined in `0^circ<=theta<360^circ`?

Answer 1

See explanation.

Explanation:

According to definition we have:

`csc theta=1/sintheta`

So `csc theta` is undefined for those values of `theta`, for which `sin theta=0`

If we solve this equation we get:

`x = kpi; k in ZZ`

In the given interval we have:

`x=0,pi` ##

or in degrees:

`x=0^o,180^o`