SOLUTION: I have to complete this statement: The domain of y=arcsin x equals the ________ of y=sin x. I know that the sine of any angle is between -1 and 1. Therefore, it is my under

Algebra ->  Trigonometry-basics -> SOLUTION: I have to complete this statement: The domain of y=arcsin x equals the ________ of y=sin x. I know that the sine of any angle is between -1 and 1. Therefore, it is my under      Log On


   



Question 628726: I have to complete this statement:
The domain of y=arcsin x equals the ________ of y=sin x.
I know that the sine of any angle is between -1 and 1. Therefore, it is my understanding that the -1 is less than/equal to x which is less than/equal to 1. I know that y=arcsin x = sin-1 x; the inverse. I'm just not sure what to put in the blank. Maybe I am looking at it all wrong. Any help is much appreciated! Thanks!

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
arcsin and sin are inverses of each other. Inverses are relations where the x's and y's are swapped. So the domain (which is a set of x's) of one will be the range (set of y's) for the other.