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VITEEE 2018 Solved Paper
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© examsnet.com
Question : 98
Total: 125
The principal value of
s
i
n
−
1
(
sin
5
π
3
)
is
-
5
π
3
5
π
3
-
π
3
4
π
3
Validate
Solution:
Let θ =
s
i
n
−
1
[
s
i
n
5
π
3
]
⇒ sin θ =
s
i
n
5
π
3
= sin
[
2
π
−
π
3
]
⇒ sin θ = - sin
π
3
= sin
(
−
π
3
)
(Since sin (-θ) = - sin θ)
Therefore, principal value of
s
i
n
−
1
[
s
i
n
5
π
3
]
is
−
π
3
, as principal value of
s
i
n
−
1
x lies between
−
π
2
and
π
2
© examsnet.com
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