Question

How do you find all solutions of the equation `sin theta-1=0`?

Answer 1

`sintheta = 1` at every `theta` of period/`4`, plus an integer multiple of one period. So assuming `theta = x` and `T = 2pi`:

`sintheta = 1` with `theta = (pi)/2 pm 2npi AA n in ZZ`

(`sintheta = 1` with `theta = (pi)/2 pm 2npi` for all `n` in the numerical set called "integers")

graph{sinx [-6.28318, 6.28318, -2, 2]}