When sinx=0, what does x equal?

`sinx` is known as a periodic function that oscillates at regular intervals.

It crosses the x-axis (i.e. it is `0`) at `x = 0, pi,` and `2pi` in the domain `[0,2pi]`, and continues to cross the x-axis at every integer multiple of `pi`.

graph{sinx [-10, 10, -5, 5]}

And if you click on the graph, you get:

So, whenever `sinx = 0`, we have that:

`color(blue)(x = pi pm kpi)` for all `k` in the set of integers.

That is, if `k = 0, 1, 2, . . . , N`, where `N` is some arbitrarily large integer, then `sinx = 0` for `x = 0, pmpi, pm2pi, . . . , pm2Npi`.

If you know that `sinx = 0`, t
Then you need to use a process called 'arcsin'.
It might be shown as "arcs" or "asin" or similar.

This is shown as `sin^-1` on many calculators and is not to be confused with `1/sin` which is the same as `"cosec"`

To find which angle(s) will have a sine value of `0`.

Depending on what type of calculator you have you key in one of the following:

• `"shift" sin 0 =` and you get the answer `0°`

• `0 " shift" sin` the display will read `0`

Any angle which is a multiple of `180°` will also have a sin value of `0`