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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
tan
−
1
(
sin
x
+
cos
x
)
f(x) = \tan^{-1}(\sin x + \cos x)
f
(
x
)
=
tan
−
1
(
sin
x
+
cos
x
)
,
x
>
0
x > 0
x
>
0
is always an increasing function on the interval (a)
(
0
,
π
)
(0, \pi)
(
0
,
π
)
(b)
(
0
,
π
/
2
)
(0, \pi/2)
(
0
,
π
/2
)
(c)
(
0
,
π
/
4
)
(0, \pi/4)
(
0
,
π
/4
)
(d)
(
0
,
3
π
/
4
)
(0, 3\pi/4)
(
0
,
3
π
/4
)
(a)
(
0
,
π
)
(0, \pi)
(
0
,
π
)
(b)
(
0
,
π
/
2
)
(0, \pi/2)
(
0
,
π
/2
)
(c)
(
0
,
π
/
4
)
(0, \pi/4)
(
0
,
π
/4
)
(d)
(
0
,
3
π
/
4
)
(0, 3\pi/4)
(
0
,
3
π
/4
)
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