Byju's Answer
Standard XII
Mathematics
Graph of Trigonometric Ratios
The nbsp;fu...
Question
The
function
f
(
x
)
=
cot
x
is
defined
for
all
x
∈
R
~
n
π
,
n
∈
Z
.
A
False
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B
True
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Similar questions
Q.
The
function
f
(
x
)
=
cot
x
is
defined
for
all
x
∈
R
~
n
π
,
n
∈
Z
.
Q.
If for all
x
,
y
the function
f
is defined by
f
(
x
)
+
f
(
y
)
+
f
(
x
)
.
f
(
y
)
=
1
and
f
(
x
)
>
0
, then
Q.
A function
f
(
x
)
is so defined that for all
x
,
[
f
(
x
)
]
n
=
f
(
n
x
)
. If
f
′
(
x
)
denotes derivative of
f
(
x
)
w.r.t
x
, then show that
f
′
(
x
)
.
f
(
n
x
)
=
f
(
x
)
.
f
′
(
n
x
)
.
Q.
If for all
x
,
y
the function f is defined by;
f
(
x
)
+
f
(
y
)
+
f
(
x
)
⋅
f
(
y
)
=
1
and
f
(
x
)
>
0
.When
f
(
x
)
is differentiable
f
′
(
x
)
=
,
Q.
Verify L.M.V for the function ?
f
(
x
)
=
{
2
+
x
3
x
≤
1
3
x
x
>
1
}
o
n
[
−
1
,
2
]
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