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Mathematics
Mathematics
Problem
3. Show that the function given by
f
(
x
)
=
sin
x
f(x)=\sin x
f
(
x
)
=
sin
x
is (a) increasing in
(
0
,
π
2
)
\left(0, \frac{\pi}{2}\right)
(
0
,
2
π
)
(b) decreasing in
(
π
2
,
π
)
\left(\frac{\pi}{2}, \pi\right)
(
2
π
,
π
)
(c) neither increasing nor decreasing in
(
0
,
π
)
(0, \pi)
(
0
,
π
)
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