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Byju's Answer
Standard XII
Mathematics
Circular Measurement of Angle
The value of ...
Question
The value of
sin
(
sin
−
1
1
x
+
sec
−
1
x
)
,
|
x
|
≥
1
is
(
a
)
1
(
b
)
−
1
(
c
)
0
(
d
)
1
2
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Solution
sin
(
sin
−
1
1
x
+
sec
−
1
x
)
=
sin
(
sin
−
1
1
x
+
cos
−
1
1
x
)
(
∵
sec
−
1
x
=
cos
−
1
1
x
)
=
sin
π
2
(
∵
sin
−
1
1
x
+
cos
−
1
1
x
=
π
2
)
=
1
Ans :
(
a
)
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