Question

What is `arcsin 0`?

Answer 1

`arcsin 0 = 0`

Explanation:

`arcsinx` is a `theta` with `theta` between `-pi/2` and `pi/2` (between `-90^@` and `90^@`) with `sin theta =x`

So, `arc sin 0` is an number (an angle) in the correct range, with `sin theta =0`

The angles with sine = 0 are co-terminal with `0` or with `pi` (in degrees, with `180^@`)

The only such angle between `-pi/2` and `pi/2` is the angle `theta = 0`.

So `arcsin 0 =0` (Either the number `0` or the angle measuring `0` radians or `0^@` depending on the units of the application.)