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UPSC NDA Math Model Paper 2
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© examsnet.com
Question : 60
Total: 120
The domain of
sin
−
1
4
x
is:
[0, 1]
[-1, 1]
[
−
1
4
,
1
4
]
[-3, 3]
Validate
Solution:
Let's say that
sin
−
1
4
x
=
θ
.
⇒
sin
(
sin
−
1
4
x
)
=
sin
θ
⇒
sin
θ
=
4
x
Since,
−
1
≤
sin
θ
≤
1
⇒
−
1
≤
4
x
≤
1
⇒
−
1
4
≤
x
≤
1
4
⇒
x
∈
[
−
1
4
,
1
4
]
∴ The domain of the function is the closed interval
[
−
1
4
,
1
4
]
© examsnet.com
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