2The cancellation property sinsin xx is valid for x in the i

2·The cancellation property sin\"(sin x)-x is valid for x in the interval Which of the following is not true? (i) sin-(sin)- (ii) sin-(sin 10)-13T (iii) sin- (sin (-:) =-- 3/3 (111) sin sin -- =-- 4

Solution

i and iii are correct and true
option b is false because
sin^-1(sin(10pi/3))=sin^-1(sin(4pi-2pi/3))=sin^-1(sin(-2pi/3))=sin^-1(sin(-pi/3))=-pi/3