Question

which of the following statements best describes the domain of the functions sine and arcsin? a) sine domain is all real numbers; arcsin domain is all real numbers. b) sine domain is restricted; arcsin domain is all real numbers. c) sine domain is all real numbers; arcsin domain is restricted. d) sine domain is restricted; arcsin domain is restricted

Answer 1

sine can take any value while arc sin can only take values fom -1 to 1.
Therefore, sine domain is all real numbers; arcsin domain is restricted.