If [5sinx]+[cosx]+6=0, then range of f(x)=3cosx+sinx corresponding to solution set of the given equation is : (where [.] denotes greatest integer function)
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a
[−2,−1)
b
−33+25,−1
c
[−2,−3)
d
−33+45,−1
answer is D.
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Detailed Solution
[5sinx]+[cosx]=−6⇒⇒−1≤cosx<0 and −5≤5sinx<−4−1≤sinx<−45