Question

@kainui

https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arcsin

Answer 1

So basically what it comes down to is what an inverse function is, you gotta change the x and y values around, so it will reflect the graph over the line y=x.

But the problem is if we reflect all of sine across that line, we end up with something that fails the vertical line test, so we cut it apart before we let it repeat.

So keeping in mind that the inverse function reverses x and y, since we know the domain of sin(x) is all real numbers and the range is from -1 to 1 then if we look at the inverse, then we reverse it and we end up with something that has a domain from -1 to 1 with a range that _should_ be all real numbers but remember, it'll keep repeating so we cut it down so that it has a range only from -pi/2 to pi/2.

Ok there's a lotta stuff in there, I dont wanna say too much more until you ask more questions about whatever seems weird or if I have to explain other stuff more in depth or what. =P