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Mathematics
Mathematics
Problem
Show that
f
(
x
)
=
tan
−
1
(
sin
x
+
cos
x
)
f(x) = \tan^{-1}(\sin x + \cos x)
f
(
x
)
=
tan
−
1
(
sin
x
+
cos
x
)
is an increasing function in
(
0
,
π
4
)
\left(0, \frac{\pi}{4}\right)
(
0
,
4
π
)
.
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