1 Answer | Add Yours
Let `y= 1/tantheta `
We need to find the values of `theta` such that the function (y) is defined.
Since `tan(theta)` is in the denominator, then we know that `tan(theta)` can not be 0.
==> `tantheta != 0`
Now we will find the values where `tan(theta)= 0` and exclude them from the domain.
`==gt tan(theta)= 0 `
`==gt (sintheta)/(costheta)= 0 `
`==gt sin(theta)= 0 `
`==gt theta = 2npi` (n= 0, 1, 2, ...)
==> Then `1/(tantheta)` is not defined when `theta= 2npi` (n= 0, 1, 2..)
We’ve answered 319,200 questions. We can answer yours, too.Ask a question