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Question


Let [ x]= the greatest integer less than or equal to x and let f( x)=sin x+cosx, then the most


general solutions of f( x)=[ f(π10)] are


A
2nπ±π2,nZ
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B
nπ,nZ
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C
2nππ2,nZ
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D
2nπ or 2nπ+π2
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Solution

The correct option is B 2nπ or 2nπ+π2
clearly
[f(π10)]=1
so given equation becomes
sinx+cosx=1
so x=2nπ or 2nπ+π2

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