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Ques 1) Find the range :-
f(x) = Sin -1 [x2 + 1/2] + Cos -1 [x2 - 1/2]
where [.] denotes the greatest Integer function
x2-0.5>-1 and is less than x2+ (1/2)<2,therefore x2<3/2,
for 0≤x2<1/2, f(x)=arcsin(0) +arccos(-1) =π, for 1/2≤x2<3/2, f(x) = arcsin(1)+arccos(0)=π
therefore, range is π
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