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Sanchit Gupta Grade: 12
        

Ques 1) Find the range :-


f(x) = Sin -1 [x2  + 1/2]  +  Cos -1 [x2 - 1/2]


where [.] denotes the greatest Integer function

7 years ago

Answers : (1)

Chetan Mandayam Nayakar
312 Points
										

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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7 years ago
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