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Byju's Answer
Standard XIII
Mathematics
Graph of Cosecant Function and it's Properties
For any angle...
Question
For any angle
x
∈
(
0
,
3
π
)
,
cosec
x
≥
1
for
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Solution
Given:
cosec
x
∀
x
∈
(
0
,
3
π
)
Now, to find the region where
cosec
x
≥
1
Let's plot the graph of
cosec
x
:
Thus, for
x
∈
(
0
,
3
π
)
,
cosec
x
≥
1
for
x
∈
(
0
,
π
)
∪
(
2
π
,
3
π
)
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Similar questions
Q.
For any angle
x
∈
(
0
,
π
)
∪
(
π
,
2
π
)
,
cosec
x
∈
[
1
,
2
√
3
]
for
x
∈
Q.
For acute angle
θ
, find
cosec
2
θ
−
cot
2
θ
Q.
Solve for
α
cosec
2
θ
cosec
θ
−
1
−
cosec
2
θ
cosec
θ
+
1
=
α
sec
2
θ
Q.
For an acute angle
θ
in a right angled triangle,
1
cosec
θ
=
Q.
The number of intersection points of the function
f
(
x
)
=
c
o
s
x
and
y
=
1
/
3
in :
(
a
)
x
∈
(
0
,
3
π
)
(
b
)
x
∈
[
−
3
π
,
2
π
]
are respectively:
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Graph of Cosecant Function and it's Properties
Standard XIII Mathematics
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