- #1

utkarshakash

Gold Member

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## Homework Statement

If [sinx]+[√2 cosx]=-3, x belongs to [0,2∏] (where [.] denotes the greatest integer function) then x belongs to

1)[5∏/4,2∏]

2)(5∏/4,2∏)

3)(∏,5∏/4)

4)[∏,5∏/4]

## The Attempt at a Solution

If I put x=5∏/4, LHS=-2 which does not satisfy. 2∏ and ∏ also does not satisfy.So the answer must be either 2) or 3). Is there any better way other than putting the values one by one and checking?