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The range of fx=sinx+cosx, where [.] denotes the greatest integer function, is

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a
{0}
b
{0,1)
c
{1}
d
None of these

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detailed solution

Correct option is C

y=sinx+cosxor     y2=1+sin2xor    1≤y2≤2or    y∈1,2or   fx=1∀x∈R


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