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

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) (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.
RELATED QUESTIONS
I was able to do most part of this assignment by myself but I have no idea of for the... (answered by josgarithmetic,math_tutor2020,ikleyn)

I have two right triangles that are connected at point x. On the right, there is triangle (answered by CPhill)

Find the domain and range of the inverse of the function f(x)= 7 + 3e^x. I found the... (answered by solver91311)

Hi there, I have had a question in trigonometry. It was a right angled triangle with a (answered by josgarithmetic)

Find the domain of y=x/cosx I know that cos(x)can't equal zero and that means x can't be (answered by richard1234)

Find all values of x over -2pi and under 2pi. The problem is sin x = -.7 I know that... (answered by jsmallt9)

Which of these statements are true?? (i) The domain of the inverse cosine function (y =... (answered by lwsshak3)

State the domain and range of f^-1 (x) given a) f(x)= x+3 This is what I have tried... (answered by Nate)

My math work book says "Write the range and domain of P = {(x,y) / y + x squared}. The... (answered by stanbon)