Question 1199096
A) {{{f(x)=sin(x)}}}

domain:

R (all real numbers)
or ({{{-infinity}}},  {{{infinity}}})

range:

{ {{{f }}}element {{{R}}} : {{{-1<=f<=1}}} }
[{{{-1}}},{{{1}}}]


B) {{{f(x)=arcsin(x)}}}

Domain:
{ {{{-1<=x<=1}}} }
or
[{{{-1}}},{{{1}}}]

Range:
{ {{{f }}}element {{{R}}} : {{{-pi/2<=f<=pi/2}}} }
[{{{-pi/2}}}, {{{pi/2}}}]



C) {{{f(x)=tan(x)}}}

Domain:
{ {{{x}}} element  {{{R}}} :  {{{x/pi + 1/2}}} not element {{{ Z}}} }

Range:

{{{R }}}(all real numbers)
or
 ({{{-infinity}}},  {{{infinity}}})


D) {{{f(x)=arctan(x)}}}

Domain:

{{{R }}}(all real numbers)
or
 ({{{-infinity}}},  {{{infinity}}})

Range:

{ {{{f }}}element {{{R}}} : {{{-pi/2<=f<=pi/2}}} }
[{{{-pi/2}}}, {{{pi/2}}}]


answer: A)