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Mathematics
Mathematics
Problem
The range of the function
f
(
x
)
=
sec
−
1
(
x
)
+
tan
−
1
(
x
)
f(x) = \sec^{-1}(x) + \tan^{-1}(x)
f
(
x
)
=
sec
−
1
(
x
)
+
tan
−
1
(
x
)
, is a.
(
0
,
π
)
(0, \pi)
(
0
,
π
)
b.
(
−
π
2
,
3
π
2
)
\left( -\frac{\pi}{2}, \frac{3\pi}{2} \right)
(
−
2
π
,
2
3
π
)
c.
[
0
,
3
π
4
]
\left[ 0, \frac{3\pi}{4} \right]
[
0
,
4
3
π
]
d. None of these
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