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Byju's Answer
Standard XII
Mathematics
Domain
If 0< x≤π2,...
Question
If
0
<
x
≤
π
2
, then
(
sin
x
+
cosec
x
)
is greater than or equal to
A
0
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B
1
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C
2
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D
None of these
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Solution
The correct option is
B
2
We know that
A
M
≥
G
M
sin
x
+
cosec
x
2
≥
√
sin
x
.
cosec
x
⇒
sin
x
+
cosec
x
2
≥
1
⇒
sin
x
+
cosec
x
≥
2
Therefore, Answer is
2
Suggest Corrections
0
Similar questions
Q.
If
0
<
x
≤
π
2
, then
sin
x
+
cosec
x
≥
Q.
If
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)
, then
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+
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√
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Q.
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)
, then
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+
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+
tan
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x
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+
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is always greater than or equal to
Q.
If
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0
,
π
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)
then
√
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2
+
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+
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2
α
√
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+
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is always greater than or equal to
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lf
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∈
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