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Byju's Answer
Standard XII
Mathematics
Continuity in an Interval
Find the exac...
Question
Find the exact value of:
sin
−
1
(
−
√
3
2
)
A
−
π
2
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B
π
2
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C
π
3
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D
−
π
3
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Solution
The correct option is
C
−
π
3
The value of
sin
−
1
(
−
√
3
2
)
is
=
−
sin
−
1
(
√
3
2
)
=
−
sin
−
1
(
sin
(
π
3
)
)
=
−
π
3
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0
Similar questions
Q.
Assertion :
sin
−
1
(
sin
(
2
π
3
)
)
=
π
3
Reason:
sin
−
1
(
sin
θ
)
=
θ
;
where
θ
∈
[
−
π
2
,
π
2
]
Q.
Find the value of
sin
[
π
3
−
sin
−
1
(
−
1
2
)
]
.
Q.
Find the value of
x
which satisfy this inequality:
∣
∣
∣
π
2
−
sin
−
1
(
1
−
x
2
1
+
x
2
)
∣
∣
∣
≤
π
3
Q.
Find the value of the following:
cos
0
⋅
sin
π
2
⋅
cos
2
(
π
6
)
⋅
sec
2
(
π
4
)
tan
π
3
+
cot
π
3
Q.
Find the value of
cos
[
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2
−
sin
−
1
(
1
3
)
]
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