Byju's Answer
Standard XII
Mathematics
Graph of Trigonometric Ratios
The nbsp;fu...
Question
The
function
f
(
x
)
=
tan
x
is
defined
for
x
∈
R
~
(
2
n
+
1
)
π
2
,
n
∈
Z
A
True
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B
False
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Similar questions
Q.
The function f(x) = cot x is discontinuous on the set
(a) {x : x = nπ, n ∈ Z}
(b) {x : x = 2nπ, n ∈ Z}
(C)
x
:
x
=
2
n
+
1
π
2
,
n
∈
Z
(d)
x
:
x
=
n
π
2
,
n
∈
Z
Q.
The function f (x) = tan x is discontinuous on the set
(a) {n π : n ∈ Z}
(b) {2n π : n ∈ Z}
(c)
2
n
+
1
π
2
:
n
∈
Z
(d)
n
π
2
:
n
∈
Z
Q.
Let f (x) = |cos x|. Then,
(a) f (x) is everywhere differentiable
(b) f (x) is everywhere continuous but not differentiable at x = n π, n ∈ Z
(c) f (x) is everywhere continuous but not differentiable at
x
=
2
n
+
1
π
2
,
n
∈
Z
.
(d) none of these
Q.
Let f (x) = |sin x|. Then,
(a) f (x) is everywhere differentiable.
(b) f (x) is everywhere continuous but not differentiable at x = n π, n ∈ Z
(c) f (x) is everywhere continuous but not differentiable at
x
=
2
n
+
1
π
2
,
n
∈
Z
.
(d) none of these
Q.
The
function
f
(
x
)
=
tan
x
is
defined
for
x
∈
R
~
(
2
n
+
1
)
π
2
,
n
∈
Z
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