Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If [5 sinx] + [cosx] + 6 = 0 then range of f(x) = sinx + 
cos x, corresponding to the solution set of the given equation, is (where [.] denotes the greatest integer function)
A
[-2, 0]
B
( − − 
, 0|
, 0|
C
[ − − 2, 
)
)
D
| − − 2, − − 
)
)
Text Solution
Verified by ExpertsThe correct answer is:
D
[5 sinx] + [cosx] = -6
⇒ ⇒ [5 sinx] = − − 5, (cosx] = − − 1
⇒ ⇒ − − 5 ≤ 5 sin x < − − 4, -1 ≤ cos x < 0
⇒ ⇒ − − 1 < sin x < 
, − − 1 ≤ cos θ θ < cos x < 0
Now f(x) = sinx + 
cosx = 
we have, 
⇒ ⇒ 
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