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Byju's Answer
Standard XII
Mathematics
Greatest Integer Function
Let S be the ...
Question
Let S be the sum of all x in the interval of [0,2π] such that 3cotx^2+ cotx +8. = 0, then he value of S/π is a) 3 b)4 c)5 d)6
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Similar questions
Q.
Let
S
be the sum of all
x
in the interval
[
0
,
2
π
]
such that
3
cot
2
x
+
8
cot
x
+
3
=
0
, then the value of
S
π
is
Q.
Let S = {
x
∈
(
−
π
,
π
)
;
x
≠
0
,
±
π
2
}. The sum of all distinct solution of the equation
√
3
s
e
c
x
+
c
o
s
e
c
x
+
2
(
t
a
n
x
−
c
o
t
x
)
=
0
in the set S is equal to-
Q.
Let S be the set of all values of x such that
l
o
g
2
x
(
x
2
+
5
x
+
6
)
<
1
then the sum of all integral value of x in the set S, is
Q.
Let
f
:
R
→
R
be a function defined by
f
(
x
)
=
{
|
cos
x
|
}
,
where
{
x
}
represents fractional part of
x
. Let
S
be the set containing all real values
x
lying in the interval
[
0
,
2
π
]
for which
f
(
x
)
≠
|
cos
x
|
.
Then, number of elements in the set
S
is
Q.
Let
S
=
{
x
∈
(
−
π
,
π
)
:
x
≠
0
,
±
π
2
}
. The sum of all distinct solutions
√
3
sec
x
+
csc
x
+
2
(
tan
x
−
cot
x
)
=
0
in the set S is equal to
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