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No. of solution to the equation. [y+[y]]=2cos x where y=[sinx+[sinx+[sinx]]]/3 where [] denotes greatest integer function.

No. of solution to the equation.
 
[y+[y]]=2cos x
where y=[sinx+[sinx+[sinx]]]/3
 
where [] denotes greatest integer function.

Grade:9

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello Student,
\\y={[sinx+[sinx+[sinx]]] \over 3}=[sinx] \\=>[y+[y]]=cosx \\=>[y]={cosx \over 2} \\=>[sinx]=cosx \\=>$hence no of solution is 0$
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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