Hi there,
I wondered if anyone could explain why arcsinx (sin^-1 x) has a limit on y of -pi/2≤ y ≤ pi/2?
Thank you
Look at the graph of the sine function, and keep in mind the Horizontal Line Test for determining if a function is invertible.
If you take the whole sine wave, can you get an invertible function? No; clearly not.
If you take one small part of the wave, from a "trough" point to a "peak" point, can you get an invertible function?
I suggest you save your own nice soul - why should members use their valuable unpaid time doing things that you're perfectly capable of doing for yourself. If you're studying inverse trig functions then your textbook or class notes should have answers to the things you're asking about. And that's why Google was invented.