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Byju's Answer
Standard XII
Mathematics
Integration Using Substitution
If 0< α < π...
Question
If
0
<
α
<
π
6
then
α
(
c
o
s
e
c
α
)
is
A
less than
π
6
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B
greater than
π
6
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C
less than
π
3
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D
greater than
π
3
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Solution
The correct option is
C
less than
π
3
α
(
c
o
s
e
c
α
)
=
α
sin
α
0
<
α
<
π
6
....(1)
0
<
sin
α
<
1
2
....(2)
Dividing (1) by (2), we get
0
<
α
sin
α
<
π
3
⇒
0
<
α
c
o
s
e
c
α
<
π
3
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0
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