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Byju's Answer
Standard XII
Mathematics
Evaluation of a Determinant
75. In (0,pi/...
Question
75. In (0,pi/2), f(x)= x/sinx is A) incrasing B) decreasing
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Q.
Show that f(x) = sin x is increasing on (0, π/2) and decreasing on (π/2, π) and neither increasing nor decreasing in (0, π).
Q.
Show that the function given by
f
(
x
)
=
sin
x
is (a) strictly increasing in
(
0
,
π
2
)
(b) strictly decreasing in
(
π
2
,
π
)
(c) neither increasing nor decreasing in
(
0
,
π
)
.
Q.
Show that
f
(
x
)
=
sin
x
is increasing on
(
0
,
π
2
)
and decreasing on
(
π
2
,
π
)
and neither inreasing nor decreasing in
(
0
,
π
)
.
Q.
Show that the function given by
f
(
x
)
=
sin
x
is
(a) increasing in
(
0
,
π
2
)
(b) strictly decreasing
(
π
2
,
π
)
(c)neither increasing nor decreasing in
(
0
,
π
)
Q.
Prove that the function given by
f
(
x
)
=
cos
x
is
(
a
)
decreasing in
(
0
,
π
)
(
b
)
increasing in
(
π
,
2
π
)
, and
(
c
)
neither increasing nor decreasing in
(
0
,
2
π
)
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