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Byju's Answer
Standard XII
Mathematics
Definition of Functions
The range of ...
Question
The range of
y
=
1
2
−
sin
3
x
is
A
1
3
≤
y
≤
1.
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B
2
3
≤
y
≤
1.
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C
−
1
3
≤
y
≤
1.
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D
−
2
3
≤
y
≤
1.
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Solution
The correct option is
A
1
3
≤
y
≤
1.
We know
−
1
≤
sin
3
x
≤
1
Hence range of
y
is
=
[
1
2
+
1
,
1
2
−
1
]
=
[
1
3
,
1
]
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0
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