If and , then range of is (where denotes greatest integer…
MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions
Problem
If f(x)=sin−1x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(x)) is (where [⋅] denotes greatest integer function)
(1) {2−π,2π}
(2) {2−π,0}
(3) {0,2π}
(4) {−2π,0,2π}